Yeah, all the old stuff remains true for C and F though each moon now has a few more tricks with OTGs and such.
If I had to lay out +/- of each moon in my opinion it would be something like:
C + Overhead, best abare, mixup, and combo freedom, high damage, good gimmicks like 5BB
- no air control because no air to air j.B and no F/H moon anti air 2B, 214C is jumpable
H + 6AA, has the good 2B and j.B, 236B can sometimes be useful for blowing through things
- lower damage overall, no overhead, 214C is jumpable
F + non jumpable 214C, good OTGs into 623 series, best oki, F's great 22 series, good j.B and 2B
- no overhead, hard to maintain pressure