Having wealth will not guarantee success. It is clear how Nasser Al Khelaifi spends money to bring big names into his squad. In fact, this did not bring any success in the European realm they can only control France. They are not a team that European clubs are afraid of, let alone them have just lost a very loved player, Nasser Al Khelaifi Mbappe, this will make them lose another player with that quality.
I think next season PSG will lose in the French League 1 because they are no longer a strong team, I think next season PSG will suffer if the management is not good at buying players.
I agree with you that wealth does not guarantee success as long as they cannot use it very well. But if they can use it very well, then I'm sure they will also be very successful. We can see the success achieved by Manchester City in the Premier League and even in the Champions League. It starts from the finances they have which are very good, and they are also able to use them wisely so that it brings success.
Meanwhile, in my opinion, Paris Saint Germain are not that good at utilizing the wealth they have so they can't do much when they are in more difficult competitions. Maybe in Ligue 1 they really dominate, but in my opinion that's not interesting at all because there are almost no teams there to give them tough competition, because there they have all the advantages, wealth, quality of players and so on. Some people even say that Ligue 1 is a farmers' league and that has bad connotations.