Would you like to see the ME:Andromeda series reconnect with the Milky Way?

That would be like saying everything we did in the first three games was a folk tale or legend. The reapers or green synthetics wouldn't have disappeared by this point either. It wouldn't be feasible to return when the galaxy has been completely altered in so many ways. You can't have four different stories where one is completely barren with no mass relays while another has advance beyond imaginable with mass relays to get around.

They can account for the choice you made via communication or as a last sent message since they would only be dealing with script. Showing it is a completely different accomplishement all together.

Besides some time altering of events or alternate universe that we get stuck in, I don't think we'll ever be able to go back to the Milky Way galaxy that we left.

It was a one way trip folks.

If a future storyline demands it, so be it.

I wouldn't mind them reconnecting, but I'd like it to be at least a few generations after the Ryders arrive.

No one knows what happened on the Citadel except Shepard and the audience.  That's besides the point.  Even a thousand years later, the consequences and ripples of events would create drastically different Milky Way Galaxies.  Say a team from andromeda comes back to the milky way galaxy even 2000 years after Mass Effect 3's ending, the story, characters, technology would still have way to many variations for the say the synthetic ending vs any other ending.  No more wars between organics and synthetics, much longer life spans if not possibly immortality of organics.  The control ending would mean the relays still exist which means your game could take place all over the milky galaxy with it's own conflicts, technology, and generations where as the destroy ending means the story of the game would more confined to possibly one cluster.

The point is the ending of Mass Effect created 4 alternate realities and universes in the timeline that completely shape the galaxy.  It is not feasible to make a game that is essentially 4 completely different games unless you just make one ending cannon.  

Or utilize the theories of black holes to their advantage to essentially alter the events of the trilogy entirely.  Go back in time so don't have to account for the endings to three  without saying as writers, oh we;re just going to forget they happened.

The point is that if Bioware wants another game in the Milky Way, they can do it. They can make an ending cannon. Or come up with another ending. Its up to them what they want to do

Again it has a lot to do with Shepard. If Shepard survives to tell the story, especially since she/he was on the Citadel and no one else, the other endings never happened. As far as the green crap goes, well that's exactly what it is, crap

If that were the case it would mean every choice, no matter how insignificant it is, would matter. But that's not the case. Example. In ME1, Garrus does not have to be recruited, but yet when taken to Sur'Kesh, he and Kirrahe, if he survived ME1, know each other. How is that possible? Yes it's a minor choice, but its still a choice.  So if they can ignore that choice, they can ignore other choices as well.

So you're right about that.  I actually didn't consider that part of the destroy ending.  That's still just one variable from multiple outcomes.  

You're also right about the small details.  The ME3 endings are just a lot more contrasting than the majority of the fans gave them credit.  Sure there were reasons to complain, but most of the fan base who got mad about the endings are either too lazy to analyze or too dumb to see past the red, green, or blue.    

There's nothing to remember. Bio didn't establish anything concrete after the scene of Reapers repairing relays.

Only if they find a way incorporate your ending choice into the game. Would not want a retcon or canon ending.

Personally though I think the milky way's story is done and though andromeda initiative's goal is to one day reconnect with milky way I feel the developers did that to leave them the opportunity to return one day, but don't really have plans for that. A whole new galaxy, with a whole new history, and building up of the new homeworlds for the initiative species gives them so much story to tell for so many games based in Andromeda.

So I say let's stick with Andromeda, but if we do eventually return to the Milky Way then I hope that they don't canonize or retcon the endings.

Just a horrid thought...
What if Bioware planned this all out from ME3 inception...
They wanted people angry at the game's conclusion so they gave us the prime color endings to ME3...
Then once every hated the Milky Way and wanted nothing to do with it...the option of Andromeda becomes active.

They give us the story of ME:A... that once we complete it and at the end -we wish we had stayed in the Milky Way.
I sincerely hope they are not trying to pull a massive 180* and then 360* turn.

And if that is not followed sarcasm is indeed dead.