It’s important to remember that Rey is part of the prophecy.
Darkness rises, and light to meet it.
This implies a nobody had to rise to counter Kylo, which is frankly ridiculous but if we are working the lenses of TLJ, Rey is both a “nobody” and a “chosen one”.
Through this lens, she is only the “chosen one” by nature of being the one to step up and be the light the galaxy needed. Anakin is the chosen one inherently, due to his conception and the prophecy. This aspect of Rey’s character is relatively minor, I mean, this is just one line. What’s more important the larger idea of darkness facing the light, rather than the Force picking a chosen one (the supposed implication here).
Anakin being a “nobody” from “nowhere” is secondary to his characterization. I mean, Luke was from nowhere too. But with Rey it’s different, because they made her nobody-ness the central part of her characterization, in the same way being the chosen one was for Anakin, and being Anakin/Vader’s son was for Luke. It was a decidedly different story.