Changes to the shape of space-time willl still only travel at the speed of light, so I don't see how that would enable you to travel faster than light for any meaningful distance, as the warp bubble itself would be unable to keep up with the vehicle.
The expansion of the universe can be faster than the speed of light. Would it be possible to use that to create FTL travel?
But the spacetime is so distorted that a photon will start orbiting the singularity, thus it doesn’t get out of the event horizon.
The link you post describes a region in certain conditions where light can orbit not that that is the fate of all light falling into a black hole.the end talks about the always orbitally unstable regions beneath that being referred to here.