[AnotherGoodName]

There's lots of examples of the universe expanding at different rates. The cosmic inflation early in the universe being one example and then the more recent dark energy acceleration of the expansion.

As for evaporating without losing information that's the whole point. The holographic universe theory states that a black hole doesn't destroy information. The holographic universe is a consequence of no information being destroyed in the formation or evaporation of a blackhole. It's literally the entire basis for the theory. My theory above is just postulating that as a block hole grows/shrinks due to information falling into it or evaporating from it a holographic universe on its surface would also grow/shrink.