FFP is a myth though, it's more likely to stop half decent clubs from improving than it is to seriously cap the mega rich. I'm pretty sure in a capitalist society you can't ban people from using their own money on football players because reasons. Didn't PSG squash FFP recently?
No doubt Bayern, Madrid, Barca, Juve have more appeal than the rest in terms of current 'top' clubs. Then you have United and both Milan teams too with equal prestige just lacking the league table positions. The problem is, players can go to these oil clubs, get paid more AND compete for trophies. It's not a case of money or ambition. In the case of Chelsea for example it's money and enough ambition.
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PSGs problem is basically a worse version of our own problem. Their league is just redundant on the grand scale. If they were in the Prem, with the exact same owners and team from top to bottom they could easily attract the best players.
Top players generally don't care for history. Or at least, it's a distant 3rd to Money and current level.
They only big up the history of a club on their signing day.
Money or ambition can fluctuate on which is the prime factor for a player. History does not come into play.