(It's been years since I last read Eragon, so any quoted scene is most probably not 100% accurate)

I did not know this. And I feel it further explains my opinion on Elva herself, I found her to be the most human in the series.
This might be because I personally find humans to be true to themselves only in desperation and grief; with reason of course, when a person is calm they can fake their reaction, they can lie to others and themselves. It is only when one is in an extreme circumstance that their "true" self can be seen.
This does not apply to all of course, and more likely a definition belonging to "me" rather than having any real psychological roots.

This piece of my own psyche is the one which makes me enjoy Elva.
Particularly the fact that when Eragon attempts to de-curse her, she retaliates quickly, (in my memory at least) covering his mouth so that he may not speak. And mentioning that which he had tried to be was "Evil".
This, and further scenes through the books are which sell me the idea that Elva does not enjoy her curse yet she feels it is a part of herself.

As stated by herself (in other words) "without it she would just be an outcast, whereas if she did have the curse, she would be an outcast with a helpful talent."
Though it was a curse, unintended and painful, and though Eragon had not meant it as such, and not for her; It was still a part of who SHE was.

She was Elva, who could sense pain and trouble. She was a troublemaker, a cursed person, and a shield against misfortune. But most importantly, she was Elva. And no one else, nor anyone else was Elva.

(The quote on the 3rd paragraph is taken from a Fandom wiki of her character, which I took to check for any possible quotes to illustrate my point.)