Yeah, but not the other way around. But there’s semantic ambiguity with the term “avian” – I used it to mean “capable of flight” but it can also mean “member of the clade Aves”. The dinos that survived were not flying at that time , and not all survivors were in Aves; flight evolved in Aves only after K–Pg and other dinos that survived went extinct later.

(I edited my original comment to be more precise)