Nice story. Still doesn't change the fact that not every manager has the exact same role description for his defensive players as you do. Some approaches require them to contain, others require them to be aggressive. It is fine if you think that Ugarte somehow made a mistake in that first goal, I personally don't see it. He secures the centre, yes, he could have done more to get the ball from Odobert but this guy is a dribbler so I don't think it was a mistake not too overcommit. The issue in that goal is not dealing with the cross when you are in numerical advantage.
Just look at your first screenshot - for what should he delay anything? The back line consisted of 5 players that were distanced well.
ok... Well I guess there is no point in debating, when you are so deadcertain about who the culprit is. So be it.
Again - I think, you fall for the same issue the club has as well - that Ugarte was a sitting holding midfielder. When he seems to be a mobile, steely ball winner. I would agree with much you said in this paragraph. I still don't see why to be overly harsh in evaluating his performances. If Casemiro were a few years younger we wouldn't have to talk about Ugarte - but he isn't. And I think, it wouldn't be too hard to make a case that Casemiro doesn't get the nod because of his defensive discipline but for his willingness to pass it forwards - something thats a bigger issue for us as a team than not holding a position.
So you think, Ugarte had to leave PSG because he wasn't a good enough presser?

Not sure how many people will agree to this mate. Because the way more plausible explanation for wanting to get rid of him were his limitations on the ball.