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
Liverpool may not be bad next season with their new coach, so this team still has to be an important consideration for other teams such as Manchester City and Arsenal. Because even though it won't be easy to become champions in the Premier League, teams that often make mistakes and can't win in several matches will of course be of better benefit to the other teams. So Manchester City and Arsenal still have to get better if they want to continue competing for the title again next season.
To see Liverpool's performance next season, we need to look at the composition of their players if they still play with the same squad as last season yeah maybe they can still compete in the top 4 the only thing we are worried about is Mo Salah moving to the Saudi Pro League so that means Liverpool have to find a replacement, as we know Mo Salah is one of the mainstay players of course it is not easy to find a replacement for this player. So far we don't know whether Mo Salah will stay at Liverpool or not.