Time acceleration is dependent on the gravitational flux.

All objects within a given radius of the black hole (possibly modulo spin) would experience the same time dilation. Remote objects in the universe would not experience the dilation.

From the perspective of the astronaut falling toward the singularity, the rest of the Universe would age at an ever-increasing rate.

From the perspective of a remote observer, the astronaut falling toward the singularity would be experiencing time at an ever-decreasing rate.

The notion of relativity is that time-perception is relative, and dependent on acceleration, whether from motion (as on a spaceship) or from gravitational acceleration (as near a black hole). Objects in orbit around Earth, further from Earth's centre, and hence subject to reduced gravitational acceleration, age more quickly than objects on Earth's surface. This is actually measurable using atomic clocks, though the effect is quite small. It is sufficient that GPS satellites require time correction.