Unfortunately for Donaldson, the Santa Barbara trial court and an appellate court rejected Donaldson's claims. The courts construed his request as one for assisted suicide. That was a crime in California and the courts found (like state appellate courts everywhere in the USA) that there was no constitutional violation in applying that law to Donaldson's situation.
But why was the case framed as a right to assisted suicide? The whole point of cryogenic preservation is that sometime in the future, when a cure for Donaldson's disease is found, then his body may be "reanimated." If true, then he would not be brought back from the dead. Legally, he would have never been dead.
Since the Uniform Determination of Death Act requires irreversibility, it seems that premortem cryopreservation does not cause death. Yes. Donaldson's cardiopulmonary functions and brain functions may cease. But that cessation would not be irreversible. Of course, cryopreservation may not work. But it seems that factual predicate was not carefully examined.
The case was dramatized in a 1990 episode of LA LAW.