I don't believe Liverpool will challenge for the title tbh.We shall see. Keita and Fabinho should be playing at their best by then as well. I also have a suspicion Liverpool will try to make a league clinching type signing in January.
PSG will get better because they have a new coach and are still learning to play for him. Tuchel is also learning how to use his players.
You won't see Neymar and Mbappe playing this bad either. Verratti is still their best midfielder.