I do feel Pep would not want the players he has largely relied upon during his tenure to be part of the replacement managers squad. He may see that as new manger benefitting from his players. Left important players needing new contracts or out of contract and leave the players to decide if they stay.
The players that were instrumental in our most successful period have either already left or are out of contract. De Bruyne, Walker, Ederson and Gundogan have already gone. Stones is out of contract and fucked due to injuries. Bernardo is over 30 and has given us longer than he wanted. We've had the best years out of him. Rodri's contract is finishing and although we have seen flashes of his old self there is no guarantee he will be the same player again.
All the above I've mentioned shows some mad idea that Pep wouldn't want his players here after he's gone to be just that, mad.