I don't think we're talking about the same thing at all.
Ground C is her flip, then followed by either C to throw or A to kick. Ground C alone does just the flip part, and ground C, B does the same thing.
Pressing a button does the same thing as pressing no button, and that feels bad. I'm suggesting that C, B should do either the kick or the throw, which should not change anything in high-level play (just having an extra way of doing an input, much like AB is the same as S), but feel better for new players when she throws or kicks than feeling like they did a special move and nothing useful happened.
This has no relation to air kunai or any jumping attack.