the entire concept of "Dinosauria" would be meaningless anyway, so the taxon would collapse.
Yeah, it would collapse. But collapse is not a kind of stability.
Someday I will test the stability of some definitions - cladistic and non-cladistic ones - in a retrospective manner. Let's say, if we apply the _Passer domesticus_ + _Triceratops horridus_ definition of Dinosauria back into 1889 how would be their tree topology (a tree constructed with phylogenetic analysis and the characters state as known at that time)?