It is a known problem that responsive animation comes at the cost of complexity in movement and transitions. There is no perfect animation system that can do both - not RDR2, not Uncharted, not Spiderman.
I think there's a difference between high input lag and lack of responsiveness due to complex animations. Both can have the same feeling but one is a technical limitation while the other one is an artistic choice.
But from the small example posted by Clukos, RD2 seems to have high input lag issues too : https://streamable.com/oc4jc
It looks exactly like that :