I wouldn't have minded playing the Warden again after DAA.
I wouldn't have minded playing Hawke again after DA2.
I wouldn't mind playing the Inquisitor again after DAI.
All had their strengths and weaknesses. I like my Inquisitors very much. That they often haven't as much impact personality-wise as Hawke is something I perceive as an advantage: I can roleplay better and make more subtle distinctions, and I can use the same line to convey different things based on how I approach the conversation. Also, since I usually don't want to play extreme personalities, the range of options I got suits my preferences. Conversations can take a very different turn depending on the differences that exist, and both tone and content can vary considerably beetween the options that exist, so I don't perceive them as meaningless.
(Also, the British female voice has quite a bit of snark here and there. It's just typically understated. I love it).
On the other hand, I also agree that sometimes, the distinctions blur into "three variants of the same thing". That is not good, and it's actually hidden autodialogue. This did not happen in character-defining conversation nodes so it's excuseable, but one still notices.
As for the OP's question: I do not think we will get to play the Inquisitor again. The main reason is that she's now more of a political figure, and there is little need for her to go out and engage in personal badassery anymore after the rifts have all been closed. She'll be a figure more suited to a strategy game, unless there will be a plot where her uniqueness will be critical, such as an expedition to the Black City, and I don't see that kind of plot coming any time soon, as much as I would like to see and play it.
Also, the DA team has hinted that they're likely done with southern Thedas for now. I can't see myself playing the Inquisitor in a story set in Tevinter - yet again, not in a typical rpg, and not unless her fortune changes considerably for the worse - which I wouldn't appreciate.
So: no, we won't be playing the Inquisitor again. Regrettable, but I can live with that. The ME trilogy gave me a protagonist that took so much mental effort to make acceptable that I had to admit it's not the type I ever want to play again in the end. DA gave me three protagonists I loved. I wouldn't mind getting another one, since the DA team appears to be good at it. If, against all expectations, an existing one's story is extended, I'm ok with that, too, regardless of who it is. Whatever it is, bring it on, DA team. You haven't disappointed me in anything critical in five years (yes, I hated DA2's combat, but combat is noncritical to me). I'm confident you can do it again.
....but please reconsider the paraphrasing.