“According to General Relativity gravity is a curvature of spacetime so it has nothing to escape. It’s simply there.”
Well said...
(.... if I understand the whole concept correctly.)
It’s equivalent to saying “Objects and locations on the equator can’t escape being on the equator, and return to the way they should be at the the poles of the Earth.”
Things on the equator, like phenomena in a black hole (including gravity), can’t, don’t, won’t and shouldn’t “escape” from being where and what they are.
John Wheeler: “Mass tells space-time how to curve, and space-time tells mass how to move.”