I know where you're coming from but it's a bit of a hypothetical argument as the top managers have earned the right to go where they will be well backed and have £££ to spend.
It's not like we could really put them to the test and have say Klopp, Jose and Pep all take charge of a lower League 2 team and give them all 2 years and see who does the best job with extremely limited funding. (Much as I'd like to see that!) Of course, Pep joined City and was given the foundations of a pretty much unlimited bank balance, great stadium, excellent training facilities etc. But, all that counts for nothing if you can't do the business on the pitch, you still have to manage that City team and win over the crowd which he's done.
Like you say, Jose was given a similar task to Pep with serious cash to spend and despite winning a few trophies, hasn't exactly set Man United on fire. Certainly, massively improved them. But, they're well, well behind City and at the moment - Meaning Pep has the upper hand v Jose.
Just out of interest. If for example, City win the league (as expected) along with say the FA cup & League cup and they win the treble. Would you then concede he's currently the best manager in the world. Or, would you still stick to your belief that he's done it all courtesy of a huge backing and miracle advantage?
It's odd because I can genuinely see your argument. Of course, having 200m to spend over some of your rivals makes it a tiny bit easier! But, then you can counter that by saying does that not bring more pressure? So, only the very best managers can cope with that pressure and still deliver brilliant football and ultimately success. (Like Pep is doing).
Fair point about swapping managers other too. We'd have interesting results I'd expect.
Who is the best manager in the world? I think Pep - What about you mate?