Did we ever tie up loose ends with the warden or with Hawke? We got a cameo appearance, but we'll never really play again with either of those characters. Is the Inquisitor somehow entitled to an extra game when they are not?
No we haven't unfortunately, which is in general the one problem I have with the series. Just because none of the other protagonists got to clean up their loose ends does not mean they should continue the pattern. Even people that want a new protagonist don't like this pattern of the new protagonist spending the first half of their game cleaning up the last one's mess. Give us a clean cut, a villain or mess that has nothing to do with the last protagonist, or let our protagonists clean up their own messes.
As I said before, I was ready to retire my Inquisitor, then Trespasser happened, kicking the Inquisitor out of the story now is like Anders blowing up the chantry in Dragon Age 2, Hawke declaring they are gonna stab him/spare him and then instead the Inquisitor shows up out of nowhere and either does it for you or does the complete opposite of what Hawke wants due to the fact that they are another person, have no connection with Anders, and don't really give a damn about what Hawke wants.
No. Every game that features the inquisitor as the protagonist after this game makes the series more about him/her, and less about the time period. Just like Mass Effect is Shepard's story, that turns Dragon Age into the Inquisitor's story. It weakens the other game's stories retroactively, as well as future protagonists.
Except Mass Effect is continuing without Shepard now, isn't it? Also, that was for three games, we only need the Inquisitor back for one. And with each successive new Mass Effect game Mass Effect stops being about Shepard and starts being about the Mass Effect Universe instead. But, notice how the Mass Effect team seem to be giving us a clean cut from Shepard's story? I bet the new Protagonist of Mass Effect isn't cleaning up after Shepard, Shepard did that on their own.
So again I say, having one protagonist return as protagonist for one more game in a series of (so far) four games (counting DA4, five if you count Awakening) in order for that protagonist to tie up loose ends does not make Thedas stop being the protagonist of the series!
You may not like this, but it's true. Even one game upsets the balance. (Especially when there are only 3 games out currently) Passing the torch is the right thing to do here.
Nope, I see no balance upset. You may not like that, but you've presented no evidence to me that having the protagonist return for one more game ruins Thedas' story. We still get to see new parts of Thedas with the Inquisitor repeated and will continue to see new part of Thedas with a new Protagonist after the Inquisitor handles Solas. That still looks like Thedas is the protagonist overall to me.