You're going into two separate topics here. Whether Ole is responsible for Pogba's performances, or whether he is responsible for him staying on the pitch when he's been a distaster. I'll agree that it wasn't a good decision to leave him on, even if you do believe he could spark one moment. I think that's asking for trouble. That's on Ole.
However, Pogba being susceptible to the press is purely down to Pogba. If he can't deal with it, he's going to have a very hard time as we navigate through the CL and the PL, as more and more teams are shifting towards intense pressing and its now been mightily exposed as his weakness. Also, I don't agree with the "at this stage of his career bit". The best and most elite are always working to improve themselves. It is an obsession.
For the most part, I think we should let him leave. He has no designated place in the team. He can't play LM, as he's not a natural there and once we're back to full strength there, that position will be locked down. He can't play CM because we're too open defensively and he's not the type of midfielder who can control a game. He could be, but I don't think he wants to be. Pogba's personality tells you he likes to be flashy and flamboyant, and his football is similar. Him and Bruno will never be the disciplined, metronomic types.
Then go out and get 2 quality midfielders that improve us. I feel having balance in our team would just about even out the loss of Pogba's quality, bringing more control and consistency to the way we play.