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Don't expect too much because we can see that before Klopp came to handle Liverpool, this team had quite a hard time competing at the top so the same thing could also happen again.
Moreover, Arne Slot is not a coach who has a lot of experience handling big IM teams, as you said, the Premier League is quite competitive so it will be difficult for Arne Slot who does not have sufficient experience.
Personally, I am quite pessimistic about Arne Slot, especially in his first season, I think he will not succeed in maintaining the performance of the Liverpool team to be able to compete at the top of the Premier League standings.
Previously, Ten Hag was very successful with Ajax Amsterdam, but what happened when he moved to Manchester United? The experience experienced by Ten Hag could have happened to Arne Slot because the competition in the EPL is very competitive. Arne Slot carried out a big task at Liverpool because they were quite successful with the previous coach, Jurgen Klopp who succeeded in bringing Liverpool to win several titles during his tenure as coach there.
A decline in performance can occur when there is a change of coach, Arne Slot must make Liverpool in its best performance like when Klopp was still coaching, increasing competition makes it very difficult for new coaches who come to the EPL to make the club they manage capable of providing competition in the title race. Several coaches who had previously achieved success with the club failed to improve the team's performance in the EPL, including Jose Mourinho. It will not be easy for Arne Slot to achieve success in the near future in the EPL, there are so many strong teams which makes the coach's job even harder.