I agree with you, and to achieve that, it is very difficult, there are teams that are very good that find it difficult to achieve that, because most of them or they do well in their leagues and badly in the UCL, or they do badly in the leagues but very well in the UCL, Madrid has been a clear example of such a thing
But Madrid still play quite well in the League and also the Champions League just because he experienced 1 defeat in the Champions League many people conclude Madrid played badly in one of the prestigious matches in my opinion if you can take an example you can see Dortmund who performed well in the UCL but badly in the Bundesliga and he is currently in 8th position as a Real Madrid fan I still believe he will still perform well in the 2 tournaments this season.
however we as fans know very well that Liverpool comes from very good team organization with KLOPP, so the new coach only works on that scheme and from there on he has been able to do things well, it is difficult to change everything from one moment to another, it is not that easy, in this case they are doing things very well and I like it.
Yes I admit Liverpool did play quite well this season in the EPL and UCL but still the struggle is still very long for Slot and if he wants to be seen like Kloop he must give his best for his team so far he has done his job well with its coaching system.