Plus everybody else does age, so the damage done isn't just depriving them of freedom, it's depriving them after they wake up of the life they knew. Some functional equivalent of the death of personality, to the degree personality is context-dependent (which it is).

Now me: I'd love to get into a safe stasis pod and come out 200 years from now. I'd take that deal today.

But for most people this would be a grievous injury.