You trust those private systems every time you visit the hospital. It’s not ideal but I think a lot of people trust doctors and nurses more readily than they would trust Boeing not to sweep fatal flaws under the rug and cheap out on training pilots about those flaws. If that sounds strangely specific, well yes, it’s specific indeed. (check out the Boeing 737 Max fiasco if you’re not familiar)

Hibernation reduces probability of medical emergency

Also consider that you’re much less likely to have a medical emergency in hibernation. What happens now if you have a medical emergency on a 6 hour flight? You’re fucked if you need something other than CPR or basic medicine. In hibernation problems are much less likely to manifest than when your metabolic rate is normal (not counting what the stresses of air travel do to metabolic rate).

Hibernation increases survival rate if there is an issue

One of the main applications for human hibernation is actually medical emergencies. People being transported in ambulances are sometimes seconds away from death. So medics want to be able to put you on ice immediately & induce hibernation so that every second stretches to tens of seconds so they have time to get you to the hospital.

Thus your mortality rate drops if you’re hibernating on ground/sea transport as opposed to flying without hibernation.

UPDATE

Great timing! Shortly after saying you trust #Boeing with your safety more than medics, there is yet another safety scandal with the #737max.