Exactly.
just adding: he saw his contract out (had a 2-year deal, with an option of a third year), he even had a goodbye speech at the Parc des Princes, it wasn't a bad ending for him at all. Unfortunately, he was ridiculed during his time there by some parts of the fans - just as the English "jokesters" have the phrase "good ebening"; in France it was Emery's press conference speech about "la concurrence" (he explained in French how he wants his players to challenge each other, to compete for places, to have the desire to be better). Naturally, a portion of the public made a meme out of him speaking French, while the reasonable part said "ok, his French is not perfect, but it's obvious what he's trying to say, come on". IIRC Pochettino didn't speak French at press conferences at all. Tuchel did - also making mistakes and not being perfect, naturally, but I don't remember him being mocked for it (or as much).
idk if anyone here speaks French, but the quite known French show "Les guignols" made some sketches about PSG in the Emery era, and he's portrayed at being somewhat bullied by the players who don't respect him/have big egos/don't want to listen to him. It's all a joke but surely that helps create the image of him. It was also alluded to that the Brazilian clique in the dressing room led by Thiago Silva was a challenging thing for him to deal with. (since then, Silva's agent spoke some s**t about Emery, so there was probably some truth in it). In the end, the impression that he failed there seems to come down to this allusion to big-name players not respecting him and the media cartoon made out of his manner of speaking and personality. But he just announced he would leave at the end of the season in April 2018; he wasn't sacked. Yes, in the first season, he finished 2nd in the league, but the next year he won it. And he won the Coupe de la France and Coupe de la Ligue in both years, which might be seen as "the basic requirement" in France but we've seen the more recent managers fail to do that.
I think it's clear today - after the managers that followed, who also "failed" in the UCL - that Emery did a good job there. Not perfect, but it wasn't half as bad as some make it out to be.