Jurgen Klopp going to Bayern Munich? He will fit in so well and also become a more better coach than Jurgen Klopp who's probably overhyped due to the fact that he lifted the UEFA Champions League title in his first season as Chelsea manager, what happen to an elite team like Bayern Munich, where it would have been an easy race? Bayern Munich was not good enough last season, they didn't sit in any solid position to win the Bundesliga title but due to the crucial mistakes made Borrusia Dortmund, Munich was crowned the Bundesliga Champs because the best results are yet to come.
Considering his history, I doubt Klopp would take that job. He managed Dortmund before, plus some interviews show him laughing at Munich's losses iirc. I believe he will just go straight to the national team if he even considers coming back to football, or becomes a pundit maybe.
As to why Bayern has had a bad season, one of the possible reasons is their latest recruitment doesn't work out and their existing players have a dip in form. It is unrealistic to expect all of them to perform at their best every matchday anyway. It might have to do with the coach too, who knows what's happening behind the scenes. Not really surprised if there is a clash or just an inability to do what Tuchel asked them because they don't believe in it or something else.
On 2022 Klopp has been said Bayern Munich was attempts to gets him several times but at that time Klopp was refuse the offers from Bayern Munich because he was very comfortable to train Liverpool and after his decision to leave Liverpool then some people has starting to speculate which clubs will be his next destination but Klopp said he want to rested from football for at least 1 year because since train Dortmund and Liverpool Klopp doesn't have much time to rest and for time being Klopp will be focus to his family and hopefully he will hold his promise and will not handle any clubs until 2025
Many clubs who targetting him as new manager because with Liverpool he can gets several trophies without spend a lot of money and besides Bayern Munich reported Real Madrid also has showing their interest to him this because if Ancelotti contract ended they want Klopp as the replacement of Ancelotti and regarding Klopp chances to train Bayern Munich i think Klopp will think carefully because as the former of Dortmund manager he will respect to Dortmund fans this because Dortmund and Bayern Munich is traditional rival in Bundesliga so if Klopp don't want to dissapoint Dortmund fans i think he will reject the offers from Bayern Munich