Do you prefer ANDROMEDA? or Milkyway?

A few people perhaps, but the vast majority won’t care. Just like how the vast majority of Europeans didn’t care that America entered either of the World Wars years after they started thus could have saved potentially millions of lives in each but instead just happy they entered the war at all. Plus that is assuming such things are made public knowledge and not classified.

Of course we are in a post-MEA world. I let the whole anti-Andromeda stance go the moment they announced the setting. It was a matter of either falling into line or ruining the IP by being ready to hate it.

This is one good way to handle it. I'd honestly rather see the Andromeda story given a proper conclusion and then jump back into the MW in the neighborhood of 2200 CE. This is entirely a personal preference, and maybe it's not as easy as jumping the timeline forward 700 years. It would preserve what is, for me, the charm of the series: the near future setting. The further we go from home, the more charm is lost, regardless of actual, quantifiable differences. (Like I said, it's a very personal preference.)

MW civilization changes at a glacial pace. 3000 CE need not look much different, I guess. Still, I'd like to think the Reaper War would kick start some initiative and ingenuity. Then, those damn divergent endings come into it. Synthesis? With access to hundreds of millions of years of Reaper knowledge, we'd better have grown dramatically in 700 years. Even if the changes are window-dressing, like lengthened lifespans and other mechanically unimpactful details, that stuff is crucial setting info. I feel like they simply have to choose a canon ending. Otherwise, we're looking at prequels or a reboot. I don't care which they choose. (I think Destroy would be the cleanest in terms of future impact upon the setting, fewer hurdles, etc...)

I suspect that any future game might disappoint me. I doubt they'll properly resolve MEA, since it doesn't seem like the majority would pay for such a game. I doubt they'll revisit the MW in a way that makes me happy. (Reboot seems likely. Images of a FPS/MMO rewrapping plagues my thoughts.) These four games might be the totality for me. Four games and a decade of fun isn't a bad legacy.

No one in the ME Universe would know it's Shepard lurking in the background.  We played most of 3 games not knowing the Reapers were being controlled by anyone and for everyone left in the Milky Way, nothing would change except the behavior of the Reapers; and to them, that change would simply not be explained.  Of the endings, it's actually the one that involves the least superficial changes. 

You're just speaking your bias and assuming that people share that bias.  Some do indeed and they've been very vocal about it and shown that they are quite prepared to say F-You to anyone who doesn't choose the destroy ending, to anyone who chose to save the geth and EDI (because that's exactly why a number people did not choose the destroy ending in the first place).  That's the problem.  That's been the problem for more than 5 years now.

I'm not talking about the beacon.  I'm talking about the Ardat-Yakshi.

Having Creepy Shepard Overlord and the Reapers lurking in the background would cast a shadow over any future games.

You say that like it would be a bad thing.