I'm on the organ donor register. In my view - I'm dead. I don't need any of my body bits at that point. Nor will I have any knowledge of who has the body parts or what is happening to them. Hopefully by the time I die my womb will be way past usefulness lol.
If you are on the register you can either donate everything or you can specify what can and cannot be donated. Or you can opt out if you feel this strongly about it.
Everyone needs to think about this and ensure their wishes are recorded