Of course Liverpool will soon be the Premier League champion, while Arsenal wants at least to advance to the Champions League final because we can see that they are making every effort. Since they have taken a respectable victory against Real Madrid, So they practice to the maximum to master it even at the important stage of the Champions League. Maybe you have highlighted a wrong sentence that, Arsenal's remaining EPL matches don't need to be taken seriously. They will not be champions of the Premier League is right at this stage but does that mean they will stop all efforts? I think if Arsenal performs badly in the Premier League now, their morale may be broken. Arsenal's victory at the Emirates Stadium today was shared but their dominance in this match was huge.
It is indeed a difficult struggle to move forward in winning the match, and Arsenal continues to advance even though it is not as they expected, and Liverpool will indeed be champions because of their brilliant achievements for now only needing one point they need to secure their position, and Arsenal is 12 points behind Liverpool and they are playing optimally, with many hopes to continue to advance.
Arsenal case this season is no longer the league title as that aspect of their campaign is looking beyond reach, I think their more focus will be the champions league as they have better chances their seeing that they are already in the semi finals and just wins away to become the champions of Europe that's if another team don't have anything to say.
For their premier league campaign I think the struggle is for them to actually qualify for the champions league slot for next season.