By the end of it all, my main char no longer really thinks of herself as "Dalish" per se. She doesn't turn her back on her clan or the Dalish but as the Inquisitor she has to look at what's best on the whole and not just what's best for the Dalish. And I kind of started out playing her with the mindset of "ok let's get this whole Breach/Corypheus thing over with so I can get back to my clan". That changed quickly because as I see it the Inquisition doesn't stand for just one race or one kingdom, it stands for an ideal or belief. For me, that ideal/belief is trying to make the world "better" for everyone - or for the majority, as Cass brings up a great point that what you think is better may not be what other people think is better. Other people may see their Inquisition differently (as a means to power or an expression of faith).
Anyway, by the end of the game my inquisitor considered herself more just "elf" as opposed to the specific "Dalish elf". If that makes sense.
Although it would have been nice for those whose Inquisitors have strong ties to the Dalish, to be able to step down and return to your clan if that's what you want to do.
Edit: Should have quoted Sah291, as that's where my above thoughts came from. They said, " Especially with the Dalish in a romance, right up to the point of offering to remove the vallaslin, which is deliberately setting them apart from their identity as Dalish." By that point my Inquisitor no longer thinks of herself as Dalish really so the removal of the vallaslin doesn't set her apart so much as it sort of affirms her feelings. Thought I should clarify since it kind of looked like my post sort of rambled out of the blue.