Ten Hag's experience is primarily with Ajax though, and he did well there, but they are the biggest team in that league. Yes I appreciate they hadn't won it in prior seasons, but turning them around is hardly an underdog story that points to greatness.
PSG are a mess really so I wouldn't write Poch off on that basis - he did win the 21/22 season by a big margin. I think he's finished quite strongly in a very difficult environment at Chelsea, and his Spurs side were never likely to win much as it's Spurs!
The reality is we don't really know how the club is being run in any detail. INEOS appear to be attempting to install the best people possible at every position in the club. I think they'll consider ETH a failure and want their own manager - it may be someone from left field, a bit like Liverpool with Slot.