His elite level experience wouldn’t matter much to me, considering how he has not achieved anything of note with Bayern. The lowlight being a quarter final exit in the CL against Villarreal. He also has consistent issues with top players, who at times visibly despise him (Lewandowski or Neuer).
And the style of play is a huge question, as he has not managed to achieve a balance between defense and offense at all with both Bayern and Germany. It’s a constant question mark and he is famous for leaving his defense exposed.
Nagelsmann lives of name recognition only. He was seen as this extremely young wonder-manager, who saved Hoffenheim when the situation was horrible. But ever since that semi final in the CL with Leipzig, he has shown no development as a manger or person, has consistently caused uproar in his teams due to the way he deals with the media and absolutely loves to be the centre of attention, to the point where his own players resent him for it.
if he hadn’t started out as a 27 year old, this become famous, nobody would consider him. At this level, he’s average at best. Signing him would mean, that you bet on the hope, that he changed his man management drastically.