Pochettino is a good coach and had good experience with Premier League. He built up Tottenham with limited resources and transfer budget, even helped Tottenham to play in a Champions League final. A few seasons later, Pochettino did not break out more so it can be his limit or Chelsea will be a club where he can win titles, Premier League and Champions League.
I wouldn't even blame Lampard for anything aas he came late to the party and then was asked to fix what couldn't be fixed within just a couple of weeks. Fundamental mistakes have been made and there are really better jobs out there then fixing a plethora of problems within a club in a short period of time, but I can understand that Lampard went for it. He saw an opportunity for himself and was hoping to turn it around and perhaps get a chance for a long-term contract. Most people would have done the same and I wouldn't say it was a mistake to hire him temporarily. But the damage was done before. Now they are off to a fresh restart, but their way back up is a long one.
Agree, Frank Lampard is never been blamed as what happen to Chelsea in this last season with he joined when ship was already drowned if we can blame anyone its owner which done few big mistakes just by his own and have result like this which is surely shocking for the fans but here I also agreed instead of hiring him as temporary if they talk about long term contract then surely we can expect better result from him but its another mistake from new management of the Chelsea which create big mess-up, and now they are looking for the new start of next season with new coach and many changes which are surely important before start and having good situation for them to start with positive mindset.