Prior to SitS, the crumpet ash referred to the setup airdash -> grab, specifically. At some difficult-to-pin-down point since then it's transitioned into a generic phrase for an airdash, usually shield-cancelled, which is what it means now.
is there a name for air dash cancel into an attack, I can see that being a decently safe option as rrh.
Unfortunately almost all character's airdashes don't have enough hitstun for CD > attack to be a viable option. Except Fiona, I live off those CD combos