Banding meaning a different thing in other sections of digital technical talk isn't a problem, or at least is asmuch as dithering meaning a different thing (it does) or even pixelation meaning a different thing (it does). We can't search for words that nobody else has ever used ever. I do not have any personal stake in the name of 'banding' at all, and it was I think Peppermint Pig who first noticed the effect and named it 'vertical breaking' but I do not use that term because it also happens horizontally, and calling it horizontal/vertical breaking is too much for me, and 'breaking' is too little, too vague.
Re: why not call banding shitty AA: because there's shitty AA that bands, and there's shitty AA that doesn't band. There's also good AA that bands, and good AA that doesn't band. I need to write a tutorial on how to approach banding, I think.