Thanks to both of you for the replies. After giving it some more thought, I will leave the buds as they are. If the cuttings are not getting enough nutrients, they will simply dry up and fall off. On the off chance that the cuttings develop roots quickly, maybe I'll have a few flowers on them. That will be unique. Either way, I think I can get four or five good cuttings to maximize the chances of having at least a couple that survive and can eventually be repotted to start a new plant. The plant has sentimental value to me, so I don't want to lose it entirely. The jade I mentioned above is a plant I first got fifty years ago, and things have happened in that time where it got damaged and I had to restart it from cuttings. It's probably on its third or fourth generation now. So, hopefully, this cactus will survive, though it will be a lot smaller for a while.
