PSG lost a game and won one against Liverpool but they deserved to qualify for the QF. I did not see a PL team punish Liverpool at Anfield the way PSG controlled the game.
I know that Paris Saint-Germain lost to Liverpool when Liverpool visited them at home, but the most important thing is that Paris Saint-Germain was the team that advanced to the quarterfinals of the UEFA Champions League competition. Liverpool is very used to playing against Premier League clubs, and since they are dominating the Premier League this season, it will be difficult for Premier League clubs to travel to Anfield and dominate Liverpool the way Paris Saint-Germain did, but Nottingham Forest traveled to Anfield, and they beat Liverpool this season. Paris Saint-Germain was better than Liverpool when they played against each other, and that put Paris Saint-Germain in a position to pull out that amazing performance against Liverpool.