I honestly don’t know what a new manager would do with that lot. Their midfield can’t play front foot possession football. They would have to find another manager who played counter attacking pressing like Klopp but some of their players would not be able to take season after season of hrs running and pressing. For example if they got a Zidane type in what would he do with Milner Henderson and Wijnaldum? There’s also no recognised number 9 there to score goals and the front three are only as effective as they are because of the pressing game they’ve built and entire team around. Mane Salah and Firmino have never been particularly prolific apart from last season under Klopp. I don’t know what a possession manager would do with that squad. They’d have to be very careful who they pick after Klopp because whoever it is won’t get any time from the natives whichever way Klopp departs (if he’s won stuff it will be expected to continue and any decline won’t be tolerated, if he hadn’t won stuff then the impatience level will be off the charts).
Klopps style has a short window of a couple of years once he has the right players for it to bring success, before the wear and tear on the key players kicks in, Salah, Mane, and moreso Firninho all look more like it's 40+ games into the season rather than 16-17 atm, with that "playing tired/fatigued" cones greater risk of injury, the stats at Dortmund throughout his time there showed that players very often started breaking down phyically 2-3 season's into working in his system and it tended to be a chronic case from that point on.
At Liverpool I'd say that can be escalated, as he went from day one massively heavy on his system.
Lallana who basically ked the press the same way Firninho has done last season was the first to break down and basically now at 29 looks a finished player to all intents, Wouldn't shock to see Firninho heading the same way as him this season and others too.
Chamberlain basically broke after a few months of that system, having been used to a much less intense system at Arsenal for years
At Dortmund due to Bayern being in a mess at the time and no serious other team he was able to use that period of pushing the squad to beyond breaking point to win two titles, over here he has tried and due to the depths at the top and city being untouchable, he's failed, in Germany after his team died on its feet he was still able to cement the best of the rest tag, over here he'll find them slipping out the top four and struggling to stay 6th long term.