"You're essentially making a bet that someone will find something useful to do with a frozen brain -- and that your estate will be able to afford the procedure -- before the company you've entrusted your brain to either makes a mistake or collapses."

The procedure your parent was talking about is revival, not cryopreservation. Your comment talks in detail about why you think ALCOR's corporate structure makes them unlikely to collapse, but the money in ALCOR's trust is only enough to keep people frozen, not to cover revival.

(ALCOR does claim that the patient care trust will be enough to cover revival, but (a) revival could potentially be very expensive and (b) ongoing maintenance expenses have been using up the money generated by the trust and this seems likely to continue).