To each his own, i guess. For me, the purpose of this club is (or should be) to play good football at the highest level. There can only be a maximum of two teams that can win the trophies that really matter (PL & CL) each season, so the best thing you can do is have a team that can compete with the best and give joy to the fans by playing attractive and dominant football.
Arsenal fans will remember these seasons because they feel (although their team may not go to all the way) that their team has become relevant again and has entered the room where the big boys play. Think of it this way: They believe that their league form, this season, has been disappointing. Allegedly, 10-15 points below that is where INEOS have set the bar for us next year. What they have done over the last 5-6 seasons - reset their club by doing away with the big and entitled names and assembling a squad that can meet the demands of the modern game - is where we hope and pray to be in a few years. That's why you hear people discussing the DoF, the new regime or wanting a new analytics team and trying hard to find positives in the performances. The goal is not to win the FA Cup.
You could argue that, especially this season, Arteta has steered away from playing nice football in favour of a sheer pragmatism that can only be justified by lifting silverware. I can agree with that and i would personally desire more in terms of performances. But that's it. What i get from our season is that we've never been further away from where we ought to be. Last season, as in 2016, i mostly remember feeling burnt out by watching LvG and ETH's sides. Sure, the cups are nice but, ultimately, they'll not amount to much, if we don't meet our real objectives (assuming we have any). I want to see a competent team playing an attractive brand of dominant football at the highest kevel. I can't even name the last 10 EL and FA Cup winners without googling it.