So many things had to conspire for that to happen. They showed it's possible in an era where what they did shouldn't be possible. But it was a one off, they didn't repeat it and won't repeat it.
Wenger's "go the entire season unbeaten" was said in September 2002. We were Champions, having lost only 3 league games. Even in that context it was ridiculed as a ridiculous claim.
From where we are now we are in no position to be talking about that sort of thing. Top 4 is a step towards where we want to get to. I agree with your thoughts about the CL, but unfortunately these days it's become "a thing", whether we like it or not. It's risible that Spurs players were celebrating in the dressing room yesterday having achieved it, but for all our disagreements we are pretty aligned about how awful the modern game is. It's where the top players want to play, it's where the money is and in an era where money and success are so tightly coupled it's where we need to be. But I agree it shouldn't be the limit of our ambitions and Wenger made too much of it.
TL;DR, we may be in the gutter looking at the stars but let's recognise that we are in the gutter right now and before we start planning a trip to Proxima Centuri there's a lot of work we need to do first.