Assuming there was a spaceship that could counter-act the effects of falling into a black hole, could a human observe the hole dissipating?

The most common explanation of what would happen to a space-ship that falls into a black hole ends with spaghettification.

However imagine there was a space-ship built out of unobtanium, that could provide enough artificial gravity to counter-act the effects of the black hole on the ship's contents. As the ship is falling into the hole, gravity is increasing, which in turn slows down the relative passage of time. Eventually billions of years pass "on the outside" and the black hole evaporates through Hawking radiation, which reduces the event horizon and allows the ship to escape.

Could this scenario be used to allow a hypothetical astronaut to travel billions of years into the future in the duration of a regular human life?

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Assuming there was a spaceship that could counter-act the effects of falling into a black hole, could a human observe the hole dissipating?

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