I was in the Innocence group (12+ year subscriber who accidentally let my subscription lapse a few years ago) and was able to get GA tickets in Atlanta pretty easily. I actually really screwed up the buying process - grabbed reserved seats by mistake, and then couldn't figure out how to get them out of my cart (on the AXS website on my phone), but eventually was able to get a couple of GAs.
It seems like they release a small percentage of the tickets into each presale group (a sampling of the inventory throughout the venue). It also seems like they don't drop it all at once, for some reason. For the JT tour, I was initially unable to get GA, but then was able to get some maybe 15-20 minutes later, either due to more inventory becoming available or due to early buyers throwing them back into the pool (but it seemed like the former).
I think the lack of transparency about how all of these processes work (verification, code lottery, ticket release method) is contributing to the frustration for a bunch of people who are already super worked up about the whole thing. All parties involved could do a better job of communicating - if we knew exactly what kind of system we were getting into, we might not like it, but at least we'd not be surprised by what's going on.