I can understand that. I am not sure narrative is just about the Tournament as the issues have come up even before the Tournament. I just don't think the offense for his teams are very good which is what limited him. He probably needs a Kevin Durant or Grant Williams type player to fuel his offense.
I think some of it is the playstyle. We have the #1 defense for a reason, we play slow and slow the game down so our offense (and opponent's offense) puts up far less points. It is basically the opposite of our Football Team. This playstyle is common with B1G teams who also tend to struggle sometimes in March (i.e. Iowa, Purdue, Wisconsin, etc.).
One item that is missing that would power Barnes' system well is strong Power Forward/Center play. It is no surprise that we were the best when we had Grant Williams and Admiral Schofield because they fit Barnes system very well. Plavsic and Aidoo are not those players (although Aidoo is young and is showing some potential). If Barnes could get a Glenn Davis, Brandon Williams, or frankly for an extreme view, a Shaquille O'Neal type player that is consistent about scoring in paint or drawing fouls, we might have a Final Four team.
I think the coaching knows that we are missing those pieces based on comments in recruiting, etc. Not sure why we haven't found it. The game has changed to favor perimeter shooting and speed up games but I think Barnes system can work, it just doesn't have the right players at the moment.
As to play style, that’s not how efficiency numbers work. It’s calculated by points per possession, so it doesn’t matter how quick or slow a team plays. That’s why UVA has a decent offensive efficiency- they slow it down (that’s pace) but it doesn’t change points per possession.
UT was #1 in defensive efficiency all year until recently.