How does this work with matter falling into 'our' black hole and hawkins-radiation leaving our black hole? Heck, Hawkins radiation means black holes can evaporate. Does that correspond to a universa collapsing? Would matter falling into our black hole come shooting out of the white-hole we see? Would time on either side of the event horizon even be related?
We would see that at the edge (if we could see it) there's new mass and energy, but that would be obscured by what appears as the CMB for us.
> Heck, Hawkins radiation means black holes can evaporate. Does that correspond to a universa collapsing?
No, it corresponds to stuff disappearing from our universe, until someday nothing is left.
> Would matter falling into our black hole come shooting out of the white-hole we see?
We'd see it as being part of the Big Bang, behind the CMB, so we wouldn't see it.
> Would time on either side of the event horizon even be related?
Er, not in any way that we could observe, so it's not a question we could answer. But we could receive information from the outside, except that the CMB would hide it from our prying eyes.