The three top teams certainly want to get the EPL title but only one of them will get it, they are competing to remain consistent in winning and trying not to make mistakes, at this time we cannot confirm who will win the title because the three teams are still playing well but who obviously only the team that is able to survive until the end will get it.
In the remaining matches remaining this season, the three top teams will no longer meet each other, which means they all have to be able to continue winning with more goals in order to be at the top of the standings table. Now Arsenal is leading as first in the Premier League standings with the same number of points so Liverpool must be able to surpass Arsenal in other ways while continuing to try to win. Although on the one hand Liverpool also have to hope that Arsenal and Manchester City can be beaten by other teams in order to ensure they can win the Premier League this season.
I think, at this moment they cannot expect or rely on the competing team to lose by the other team because of course, at this moment what they really have to prioritize is to consistently get three points in each match. Therefore, the other teams will be under pressure and with that factor, it is atleast possible that one of them will fail in a particular match. So yes, expecting a losing competitor team to be able to overtake I don't think is too appropriate, because it would be great if the teams in the top three are able to remain consistent in winning the remaining matches until the end of this season.