Escape velocity is a purely Newtonian concept and represents a limiting velocity.
Black holes are very different.
It is sometimes portrayed that black holes are so massive that their escape velocity is the speed of light. BUT, as the rocket example above shows, light could get any number of kilometers away from a black hole before falling back into the black hole so there really would not be any definite size to such a 'Newtonian' black hole whose escape velocity was the speed of light. This, in fact, is not the correct relativistic model for a black hole. It is only relativity, and not Newtonian physics, that applies to defining what is going on in this situation. We have no conceptual 'choice' in the matter.