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.