Honestly, I am expecting Liverpool to lose form due to the exit of Klopp as ahead coach.it is not that they will drop significantly, but there will be a decline in performance because the new coach may not play the same pattern like that of Klopp was playing.but if new coach may decide to follow Klopp's pattern it may help, but may be a great help for them next season because it is pattern they are use to.
I don't see Liverpool losing form due to Klopp's exit because every coach has their different coaching tactics and we don't know what the new coach Arne Slot has to offer to the team, when the season officially kicks off then we can truly know if Klopp's exit affected the team's performance or not but since the season hasn't started yet it will be difficult to say Liverpool will underperform after Jurgen Klopp left his coaching career with the club.
Let's not be surprised that Arne Slot can even turn things around for Liverpool and they win more trophies than they won under Jurgen Klopp because regardless of the fact that Klopp did a great work for Liverpool but he didn't achieve much trophies during his coaching career with the team so Slot might be the one to bring them more trophies home.
You have to consider that one and the other coach took office in the era of teams like Manchester City, Arsenal, and many others. The competition in the EPL with such teams, including Liverpool is extremely high and it is much harder to win, so it is likely that Liverpool will not win trophies with the new coach either, but I doubt they will get worse