Harry Potter is the least creative fantasy story I have ever even read, period. There is seriously not one new or different thing in there. There is absolutely zero explanation to the magic, where it comes from, why the rest of the world never noticed it, why they need wands and to speak to cast spells, what happened with the Italians, were they just walking around casting spells without even knowing it. No new magical creatures or different takes on any of them. Except for maybe Hermione there is not one redeemable character in the whole thing, even then she is little miss perfect. The hero himself goes through the worst fricking emo phase I have ever seen since that second spiderman with Tobey Maquire. Harry doesnt even want to fight or accept his role, he spends a whole book hiding, pretty much every book waited until the end of school year for something to happen. The later ones were a bit different but talk about lazy writing. Speaking of lazy writing its written at a fourth grade level with like quadruple spacing. Even though its like 700 pages long you could boil it down to about 200 at the most, all so the readers feel good about themselves. Again without introducing anything new or different to expand the fantasy/magic world. School of Magic, lol, wizards, lol, door way to a magical realm, lol, magic in and otherwise mundane world, lol, resurrection lol, bunch of kids running around to save the day, lol. There is not one new thing.
In your synopsis you forget to mention that Jon Snow was betrayed and had to be brought back to life. While Harry Potter was just poofed back after making a decision of yeah I guess I will save the world, and oh yeah he gets poofed back in just the right spot and is invulnerable to all attacks. Lazy writing caused by the end of the book syndrome. The whole dang Harry Potter story line is just one plot device after the other, the stories dont even flow well. Harry is also just given everything, he doesnt have to work on anything. Magic, boom hes good. Money, boom fricking rich as hell in the magic world. Quiditch, oh I have the best broom, boom good. Saving the world, I have plot device invulnerability and sidekicks that are actually going to do the work for me. Probably because JK Rolling couldnt figure out how to write those pieces in. Teachers and administrators that love him, a family member he didnt know about that just poofs in to save the day. The whole story reads like JK is just reading a dictionary of magical words and creatures and just slapping them together. Shes like that bro that discovered a big word and drops it way too often in conversations without really understanding it. Also comparing to the Song of Ice and Fire you forget to mention all the character development, the world development, main characters actually dying off. As much as I hate JRR Martin for his own lazy writing he at least takes time on his and introduces some new ideas and makes you think about things differently. In Harry Potter the reader never really changes sides, you never see Voldermort as the good guy; how often in Ice and Fire do you stop cheering for one person and go to another? Thats good writing. I wouldnt even put Ice and Fire in my top 10 of Fantasy series or books but it still runs miles around Harry Potter. Even looking at the titles, how fricking lazy is that to just call it Harry Potter at least you dont figure out what Fire and Ice is referring to until at least a couple books in. That shows that there is a story line there, Harry Potter tells you exactly what it is and it never develops from there.
I started reading the Harry Potter books when they came out, I think I was in fourth grade, even at that young of an age I was disappointed. Its like the Big Bang Theory of the magic world; it sets its self as a magical fantasy book just so people who have no clue about magic or fantasy can giggle and say hey Im a nerd now, I understand that reference. If you have specific items you believe are redeeming qualities about Harry Potter please let me know so I can rip them apart.
Well, it was written for a younger audience and is admittedly far less complex than ASOIAF because of that, and you're more than welcome to not like the books, of course, but to say the writing was lazy or made up as she went is ignoring that she also had a lot of subtle hints of what was to come in future books - the horcrux locket, the room of requirement, the vanishing cabinet, etc. As complex as ASOIAF? Absolutely not, but like you said, they're after different audiences.
As for no explanation of why the rest of the world never noticed it? They did, often, and had to be charmed into not remembering. The Minister of Magic and the Prime Minister of England had secret direct lines of communication to help keep their worlds apart. In Tales of Beedle the Bard, it explains that they're in hiding, like the wizards and witches in America, due to religious fundamentalists wanting to burn them at the stake in the past. Voldemort's plan was to put the non-magical folk in their place for suppressing the superior magical race. This was the same goal as Grindewald a generation before Tom Riddle sought to commit genocide.
Magic could be cast without wands, as evidenced by Professor Dumbledore many times. It just takes a highly skilled witch or wizard to do so. Something teenagers in school aren't quite ready for. The wand just allows for more precision.
No new magical creatures? There are dozens of creatures made up by her in the books and in Fantastic Beasts. Were there Fantasy trope creatures such dragons and magical forest fairies like in ASOIAF? Yes.
Jon was betrayed, yes, but Harry was poofed back and was invulnerable to all attacks? Once the horcrux inside of him was unknowingly destroyed by its creator, he no longer had any protections. But neither did Voldemort. Harry wasn't even the best wizard in his school, he got lucky - a lot - just like Jon. Someone else was there to save the day (Knights of the Vale, Daenerys' Dragons, Melisandre, Stanis Baratheon, etc.) Was Harry born rich? No, he wore hand me down clothes for 11 years, and inherited some gold from his dead parents that allowed him to afford new robes, new textbooks, and some candy from a trolley - it never gave him an advantage like living comfortably in Winterfell and being trained by the Starks. It's not like Jon has never known privilege, despite being thought of as a bastard. Good at Quidditch because he has the best broom? He showed the initial instinct using a cheap school appointed broom his first year, and like his father, had a natural knack for the sport. Probably similar to Jon's likely inherited physical abilities from Rhaegar.
Harry does act like a angsty teenage boy when he's a teenage boy, yes. But to suggest that (also teenage) Jon Snow wasn't a bit of a whiner at times is unfair.
Main characters die in Harry Potter. Sirius Black, Severus Snape, Albus Dumbledore, Fred Weasley, Hedwig, Mad Eye Moody.
No character development? You don't change who you like? Of course there are far fewer characters, thus far fewer instances, but Severus Snape gave both of those things.
How could someone sympathize with Voldemort? Was he an *******? Yes, but the guy was also an orphan. His mother died in child birth and his father abandoned him. Of course he would fear death and not know love. He was fated to never know love or friendship.
I get that HP is very popular and thus easy to attack, but compared to its contemporaries in the genre of young adult fantasy, it has no peers. Ask Stephen King. I started with the first book when it came out, too and have read the series once a year ever since. I've also read ASOIAF multiple times, and the two are apples and oranges, but to deny any similarities between the two heroes is silly. That's how basically every Fantasy hero is, there are few clever new literary ideas in the world. You don't have to like HP though, and I respect your opinion on the books. Have a good Labor Day.