If you're leftist outlets start getting banned I doubt you specifically will complain. Since in your mind private businesses can do "anything" they want.
My issue is it was leftists and democrats who for years complained about the religious right and Republicans wanting to censor them, take away their freedoms, against medical freedom, against freedom of choice, etc. Turns out leftists and democrats and many of these self proclaimed "moderates " are actually what they accuse the other side of being.