Quadruped - maybe?
Anyway the answer is probably - and will likely always be - “no”.
However, a Quadruped is a really poor example since it works just fine with regular capsule collision and movement components.
Inclusing for rotations when using character.
Try something like a Fish which absolutely needs to be able to have its collision oriented to its body in order to fit through objects while moving in a “flying” like state - where direction also really matters.
Still.
I dont really see how the intial issue reported here about rotation not activating sweep checks affects anything at all for character-movement/quadrupeds.
Whereas, try rotating around and finding what you are colliding on as a fish that uses a custom movement component…