If we could reliably see neutrinos a black hole would look very different. When black holes overeat we can see Xray and gamma rays squirting out the poles.

If we could do the impossible and 'Xray' a black hole you would see 3 distinct regions of spacetime (depending on spin) and the ultra impossible singularity.

The cool thing about black holes is that time and space get reversed.
Space would begin to pass like time and you would navigate time like a cruise ship navigates the sea to different ports. (see Penrose diagrams)