A downside to the tech. You never really know if you made it because you enter another universe within.

You make it to the next cycle, but within a new universe rather than the one you aimed for. Your black hole displaces spacetime within the universe whose cycle renewed, but you are no longer an active component of that universe.

Of course, if you didn't deliberately do this, I guess you're a spectator to someone else in their black hole. So, congrats, I guess, but also you need to advance your science a bit faster if you don't want to count on luck next time.