Rxxz_935: Today, I received an update for Galaxy for version 2.0.51. After doing the update, NMS was connected to Online Discovery Service.
I'm not sure if this was related (since the changelog never mentioned anything about connectivity or NMS) but I wanted to share so others can confirm if this fixed the issue for them.
Confirmed it's working at the moment!
Note: I updated to that new Galaxy earlier this morning, and it still wasn't working. I don't think that did it, but is coincidentally around the time "they" got it fixed.
About two hours ago, I had opened a ticket with Hello Games on this issue. Don't know if that did it either.
Also, there is a fairly recent forum thread on Steam about this GOG issue (in which other Steam players also said it was still broke for them - hence fortifying my earlier-posted thought that is wasn't necessarily a "GOG's-responsibility issue" - despite some posts proclaiming that it was "100%" GOG's issue).
Maybe a combination of these things got someone's attention (finally).
In any case:
HOORAY - can finally start the Exp7 (a bit later; no time atm - hope it stays "fixed").