I agree. It's a weird way of saying it.
On of the rules for being a Disney Princess is your film can't be a critical or commercial failure. Wish is the very definition of that. That is why Eilonwy from the Black Cauldron and Kida from Atlantis the Lost Empire are NOT Disney Princesses. Therefore Asha will never be an official Disney Princess. She also isn't born royal or married into it.
I think if there is a "rule" it should be that the movie is not a critical
and/or commercial failure.
Princess and the Frog wasn't AS big as it could have been at the box office but critics liked it. (By some metrics
Tangled didn't prove profitable theatrically because the budget got way out of hand, but by sheer ticket sales it was a hit in both regards.)
Mulan was a hit both ways, and she also had the advantage, along with Tiana, of being non-Caucasian, since the line didn't have much diversity at that point, just Jasmine and Pocahontas and the latter's never been
that popular as part of the line.
Frozen would probably be part of the line if it weren't SO popular that it doesn't really need to be co-branded (besides, its dual heroines are both Queens anyway).
Anyway Asha definitely doesn't qualify as a princess by this take on the rule; the movie didn't make money and critics didn't like it, and audiences were just as cold in the end. Besides, the filmmakers went out of their way to point out that Asha isn't a princess by birth or marriage, she's an Ordinary Person Just Like You the Viewer who (allegedly) does extraordinary things.