Yes, of course all supporters want to see how Arne Slot can replace Klopp and continue the legacy he has left. Arne Slot must be able to adapt to the players' approach, especially the players in the main squad who are not currently playing in national matches, it is clear This can also be seen from pre-season matches because pre-season matches can determine Arne Slot's ability to continue Klopp's legacy and build Liverpool not from scratch, in fact he can just continue what is there, but to implement strategy, let alone tactics, it clearly takes time for the players to adapt. btw, I can't equate Arne Slot's abilities with Guardiola's because of course there are many differences between the two, but I believe that Arne Slot needs to undergo an adaptation process which may not be short. 
The most important thing is that he can go through this period of adaptation, which I assume will be difficult, with dignity. After Klopp, it would be difficult for any manager to lead Liverpool, and although I am still surprised by this choice, if Klopp approved it, it may not be so bad. Even Klopp could not bring this season to its logical conclusion, when the end of his career should have been a victory for Liverpool, but the end of the season was bad. With Arne Slott, Liverpool will likely become a different team and I don't expect that they can be better.
Everyone has been on the opinion that maybe Liverpool might still retain their good playing ability even with this new coach but the truth that can't be ignored is that kloop is one of the best coaches that the game of football has to offer and Liverpool will definitely feel the loss and their will be difference in the gameplay whether you like or not.