I think all of that is untrue. Especially as it happened in the Finch run, so we all collectively ignore it anyway.
Indeed. It was forced, and the first time she got a second ongoing to star in was as Superman's girlfriend, and the book largely revolved around Superman related plots. I'm so glad it's over with.
I'm not so sure. As you say, the "Superman and Lois from another reality" stuff is far more convoluted than anything Diana is going through. And, in comparison to the New 52 Superman canon, the New 52 Wonder Woman lore was a house of cards. I'm not talking about the Azzarello run by itself, I mean the whole package. We got so many haphazard details throughout various books, and it never came together coherently. Rucka's depiction of Diana meeting the circle of friends she has in D.C is much better told than the half assed "Oh yeah, that happened a few years ago, didn't we mention it?" stuff Johns did. Azzarello's vague world building was followed up by Meredith Finch, who drove the title into the ground. Had Rucka been the one to follow Azzarello and take advantage of the vague storytelling to clarify things, maybe he wouldn't need to go this route, but as it stands, the thing was a mess before he got here.
He's laying a pretty straightforward foundation in Year One. Once the Lies are exposed, it should be pretty easy to move on from it. The basics are still the same with Hippolyta and the Amazons, and she's not traveling to a new continuity to meet versions of Steve, Etta and Barbara who don't know her.