And if he didn't want to go to England but just Bayern your theory falls flat on its face. BTW I don't judge player values based on what 'random other player' went for, it doesn't work like that, there are many other considerations; position, nationality, age, willingness, contract length, clauses, how stupid the buying club are. For example Liverpool have to giev QPR £9m of their fee.
Anyway, thanks for everything Re Arturo! Can't say I will wish him much luck at a team like Bayern, but he was great for us.