Notice, that's pretty cool. To me, it's a modified major scale and it's harmony. It takes a ton of experience to think on a dime in a jam. It's (harmonic major) a basically useless scale for jamming and writing. I use major scales and pents in a very unique way. The logic covers nearly all situations on guitar, a player can encounter in a lifetime. Major, pents, whole tone, diminished, quartal and tertiary harmony is about it, to know. Without becoming to verbose or erudite.
You are correct in G = F maj scale concerning the modal ditty. I don't think it's real important with a good and logicial bass player. I just don't think it's nice to make this more complicated. An example: dim7 and dominants and so forth. Classically, this can be excrutiatingly complicated. (Aug6) Ultimately, you may be right. A lot of people fall in the cracks with one point of view. Terms need to be more uniform. Haphazard learning can create chaos. I'm not sure that's a wrong thing. It gives us something to do. I wish there were more than 7 POVs. There's a reason why any decent college in the nation has a jazz studies curriculum. The irony is that it all winds up to the same thing. That's mean, to me.