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, 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.
If you look at Liverpool's games for the next 3 to 4 weeks, you can see that they have a match every 3 days and will play against very strong teams like Chelsea, Arsenal, Leipzig or Leverkusen. It's going to be a very tough few weeks for the players and now it will really show whether the new coach has what it takes to replace Jürgen Klopp or whether it's too much for him and the team.
Arne Slot is faced with big challenges and he has to try his best to make sure that he wins the mozt important matches. It is not compulsory for a coach to win all the matches in this situation because he does not have enough time to rest and prepare his men and this will also tell on the pkayers because they will not be as active as when they have enough time to rest and train very well. Some fatigue might be a problem to them, and this is where we know a good and experienced coach. Slot can let go of any match that will not bring any negative impact on the team, and win the ones that will affect the team position. For instance, he needs to win the EPL matches to remain on top of the table. Whereas, he can try to draw his UCL match to keep his reputation.