I myself the first thing I did, I flew right into one and nothing happened, no time dilation, no gravity pull. I kind of expected for it to at least make time move faster by default to some degree around me as if I was holding shift but nope.
Like have having at least that time slow down for any vessel around the black hole in a way that you can see any ship at any burn level suddenly in slow motion and when you try to intercept that fleet that looks like it's moving at a snails pace and the closer you get you start noticing that NPC fleet moving more normally and out of survival instinct one should generally pull out of that place but realize upon exiting the black hole's influence that you have basically time-traveled to the future.
And yes, I know that this sort of feature most likely requires A LOT of processing power and even more coding to pull off such a feature in any game as it has to calculate the faster pace of NPCs, their AI and all events in the game to move/pass by very fast.