It is correct that you the donor or your family or insurance company bears no expense for donation of your organ or tissues. The money the companies make off of organ donations is HUGE and if they charged the donors they would never get the donations they get.
Speaking of that, did you read about the New York Funeral Director and former dentist who were in cahoots to harvest organ and tissues from corpses without authorization? They would falsify death certificates and organ donation forms to take what they wanted. In some cases people got organs or tissues from people who died of infectious diseases.
Thousands of bodies were violated and they made millions.
On that note, the State of Wisconsin has a HIGHLY regulated organ and tissue donation network that would not allow this to happen. I think Wisconsin has one of the highest rates of donations too. We are so giving!