The YouTube link you referenced is an actual recording -- the notes are all distinctly different dynamics, and there's plenty of background hiss. It's a real recording, full of life, on a real piano, and genuinely overdubbed. It's not "a little crummy" -- to the contrary, it's an invaluable historical record.

On the other hand, the "Gershwin Plays Gershwin" album is a genuine player piano, but the Rhapsody in Blue is totally different -- it has zero dynamics, everything is exactly the same volume. [1] It's interesting to hear, for sure -- but more as a historical curiosity, since no pianist would ever perform everything at the same volume unless limited technologically. Your original link is Gershwin's full interpretation. In contrast, his player piano version is nothing like what he would have performed live, but rather adapted to the technological limitations.

[1] https://open.spotify.com/track/2XSBXz4uDvx1PQPYJWQpcK?si=EO3...