One of the more mind bending aspects of this is how the horizon becomes inescapable. The singularity is the only “forward” that exists anymore. You cannot conceivably go anywhere else. Every direction becomes “in”.
One could say the same thing about death (or life). Once you’re born, death is the only “forward” that exists. You can’t calculate its exact distance but it’s inevitable.
And seeing as how time is only something observed at the macro level and is still completely unexplainable scientifically, you're really hitting the nail on the head here.
It's not similar to this at all. There is still a safe direction which exists - if you could reverse your fall, it would take you back to the plane. There is no reversing your "fall" into a singularity. "Out" no longer exists. Even if you reverse your direction, you'll still be falling towards the event horizon.
in a black hole time and space get switched in a sense.