Supermassive black hole Sagittarius A* is spinning nearly as fast as it can, dragging the very fabric of space-time with it and shaping the heart of the Milky Way.
Light would still bend the same way near the black hole
The radial acceleration of the spin would act against the gravity of the mass at the equator mostly causing a flattening Earth is the same way, wider in the middle than its height due to its rotational velocity
Non-spinning black holes are a thought experiment as there have been none found All known black holes spin
Gravity does affect Space Thus gravitational lensing and the bending of light plus objects orbiting other objects of greater mass Thus when an object spins it pulls on Space If massive enough it pulls or drags Space along in the direction of rotation, it's known as Frame Drag This is a measurable effect in the Space around Earth and seen to great effect around black holes