While that is correct that organs need to be transplanted as soon as possible, it is not necessary for other body parts such as corneas, ligaments, tendons, blood, skin, etc.
Part of Webb's theory was that transplants could possibly be conducted on board the Comfort. Also, that perhaps victims (identified as potential donors) could be harvested at times convenient for the recipient.
An excellent example of this is the Chinese government sponsored organ harvest of prison inmates. This is why I point to the proximity of the Forte Liberte Prison... prisoners are ideal donors. They can be pre-screened for suitability and they are basically on standby until the recipient is ready.
https://steemit.com/pizzagate/@v4vapid/a-rough-guide-to-black-market-organ-harvesting