The Frame shift drives, works like a jet engine compresses space-time and Pushes it out back into normal space, so we got smooth easy space-time to traverse in front of us.
If you prefer the other analogy allows the ship to ride the crest of the wave of the low and high densities of space time it’s created.
So far, when the FSD encounter curvitures in space time, like the sphere of influence of a gravitational body, struggles to compress the already compressed space-time, and struggles to thin out the already compressed space time in fronts of the ship, and we start slowing down.
so with a black hole, we should really slow down lot until the FSD packs up pretty much as we do today. But what happens to is in normal
Space?
Do we start getting dragged and pulled by the gravitation eddies, effectively a spinning black hole has spirals of compressed space time in the form of gravitational waves.
and that the sucking void of doom... as it’s the start of the accretions disk. Particles, debris etc
Which you have to navigate through or get dragged along yourself, trying to get to the lulls in between so the fsd can start functioning.
Since a Hyperspace conduit is just a hyperspace conduit, then that should be the only escape..::unless black holes gravitational effects nibbles into hyperspace as well, high-waking is a totally different thing.