That's because that "G minus" that you bend it to, is a microtonal blue note, not an accurate F#. (And because you're bending it pretty hard, the pitch can become kind of indeterminate.)
I'm walking back the F# assertion and I'm going to stay with the assertion that what Pete made there, is a blue fifth. Further, because Pete's familiar and experienced with African-American music, and so are all of us, the blue fifth sounds GOOD to us in that particular spot. As I said above, I doubt that if you had a Mozart concerto where the solo instrument came in on a sustained G in the key center of C, that it would sound good to bend it flat by 30 cents. I think it's about the stylistic expectations.
In the other intonation thread I posted a link to the Mississippi Mass Choir performing a song - there are "calls" that both the female and male leaders make, that aren't even notatable in common pitch notation, yet they are perfectly suited to the musical context. She does a number of those calls starting at 6:36. He starts at 10:30. Academic analysis does not explain the value and meaning of those expressions.
View: https://www.youtube.com/watch?v=Pk_1ZE7Rwcg
Or if that's too down home for you, listen to this:
View: https://www.youtube.com/watch?v=tuWjE7nAB2s
Right at the beginning of his fourth solo chorus, Trane plays "a note". Right at 1:07. What IS that note? It's kind of close to a third. I'll tell you what it is, it's a blue note. Don't think it was an accident. Trane knew how to play the blues. He MEANT to play that note.