I personally think they will, as long as the qataries provide enough to be competitive in CL and continue to give more and more.
The qataries are investing a lot. New training grounds, personal places to stay and live for all their players, new PSG structures around the world (like the youth training ground they plan to build in Brazil) etc.
Let's see what will happen. At the moment, all they need is a world class coach.
BTW, the FFP won't impact them as much in the coming years, as published by the medias here or in england. Next year, they will get more money to spend + no players restrictions in CL, or only 2.
I am not disputing PSG's potenital here or that the Qataris are ambitious. I mean they have to spend some of their oil/gas billions on something outside of building skyscrapers and wasting money on palaces etc.
I am just saying that no matter how strong PSG is going to become then they will stay play in Ligue 1. A league that I don't see as a league that will become more attractive or better than La Liga, PL, Bundesliga or Serie A in the future.
Monaco was going to challenge PSG's dominance on the long run but look at them now. They are a slightly better version of Málaga.
For Ligue 1 to become much more attractive the league would have to become much stronger financially. I don't see how they are going to become that outside of billionaires buying various Ligue 1 clubs. Given the ridiculous taxation levels in France and the fact that most local billionaires are moving abroad this prospect looks unlikely.
Ligue 1 will remain a strong league that relies on homegrown and African talents/players but below the 4 traditionally big European leagues.
After all you can't buy history.
If FCB, RM, Man Utd, Bayern München, Chelsea, Juventus etc. are going to make an offer that PSG cannot refuse then Marquinhos and Verratti will be gone. I don't think that the players will stop such a transfer from happening because they would not want to leave as players from FCB, RM, Man Utd, Bayern München, Chelsea, Juventus etc. do on a regular basis when other top clubs show interest in their top players.