Your closing comment is ludicrous. Pep is very clearly showing signs of burnout. It's to be expected given the exceptional level he's been working at for nearly ten years.
He'll want to see out his contract, but I don't think he's stupid enough to make himself ill doing so.
It's perfectly normal for fans to point out what they see as a 'drop' in performance and to offer their own opinions on the reasons. Fans have done this since football started.
It's the same for the media. Like many fans, they've seen 'peak' City go into (relative) decline over the last 18/24 months and they've also witnessed Pep's frequently erratic behaviour in press conferences, interviews, and on the touchline.
Pep's been the best, probably still is, but an increasing number of fans, and many in the media, can see that the end is nigh for him at City. It's called progress, it's what happens in the real world. If it's not addressed quickly and properly, there could be negative impact on all parties.
You come across as being so entrenched in the 'cult of Pep' that you expect him to stay in the job until he drops dead.