I've wonderd this same thing in the past and I bet some of the surgeons have had this question. We all have a bit of morbid curiosity. As a matter of fact, I asked Pritchett, with my wife in the room, sort of assuming that she would be the dealing with the 2 BHRs and a box of ash some day in the future. I asked if they can be re-used and he said it wouldn't be done in the US, but maybe somewhere else. I think that was a joke though. Then I thought about recyling the alloy. Geez, its a rather rare alloy, so maybe the local steel recyler would give you something for it. With steel and copper theft these days, you'd probably have to show proof that it came from your spouse (after they died, and not from a homocide).
With a THR, if it's mostly Ti, it may have a lower melting temp than CoCr, but I don't think the crematorium temp is high enough to melt either. The plastic on the THR, if it has a poly cup, will most likely be turned to ash. The THR might be too long to fit in the the basic box that they give the ashes in. The HR components probably would fit in the box fine with the ashes. If it wasn't included, I wonder if the funeral home hangs onto the metal and then recycles it in a batch, unless of course the next of kin asks for it back. Which might seem a little weird. On the other hand, during a ceremony when spreading ashes, you probably don't want to be dealing with a large clunky chunk of metal. Might be a little awkard.
Great question. Now I'm curious. I should just call the local funeral home and ask them the question.