Though I agree some people are born with it...
If you can remember a note, and recognize it, then you could develop perfect pitch with practice.
For instance, if you can remember, and “playback” in your head, the first notes of “Darth Vader’s Theme/Imperial March” or whatever it is called... That’s an “A” ...
...A A A F C A F C A
If you can now sing that pitch, and compare it with the one in your head, and match it, than I posit that you could, with practice, develop something that would pass for perfect pitch.
However, you do not have to be perfect pitch to recognize when someone is off pitch. In my experience, though, there are folks with virtually no sense of pitch at all. We get to see them sometimes audition for AI.
Regarding Ayla... She’s good but needs more practice. She may also have been nervous. And, it was still good. The range on that song is pretty big, over an octave-and-a-half without embellishments.
Loving the USA goes a long way with me. I thought it was great, and God Bless her.
I'm done playing Webster now. Talk to the perfect one for further clarification. By definition, his notions must be correct.