Eliezer_Yudkowsky comments on How to Seem (and Be) Deep - Less Wrong
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In 30,000 years you get 6000 rems worth of cosmic rays. This would be fatal (in a day or an hour) if a living human received it all at once.
But it's not nearly as much damage as is done by vitrifying someone to the temperature of liquid nitrogen, which would kill you instantly if it happened all at once.
There's a difference between *functional* damage to living systems (on which basis the cryonics folk are calculating that it will take *at least* 3000 years); versus the *informational* damage required to disrupt the relative structure of neurons frozen at liquid nitrogen temperature sufficiently to permanently erase information stored therein (probably Myears).
Sorta like the difference between doing enough damage to a hard drive to prevent it from working normally when you plug it in (which is how medical cryobiologists think), versus doing enough damage to a hard drive that not even the NSA can figure out what was once stored in it (you would be strongly advised to vaporize it).
In any case, cosmics are simply not significant over the timeframe of realistic cryonics (<300 years).