He's on the main Avengers team as well of course. I assume the reason he mainly appeared in Champions for a few years was because there was no secondary Avengers team during Aaron's run, so if Aaron didn't want to use him there was nowhere for him to go. He was meant to get another solo at one point but it got cancelled - based on the preview art I think it conflicted with Champions and/or Avengers No Road Home.
It's not like Marvel cares about continuity anymore.
All I wanted was to be unconditionally loved while never having to work on my flaws. Is that so much to ask?