It's not just prayer. I have the same problems with meditation.

The only meditation I can do is body-scan meditation. It is not particularly spiritual, just body awareness. If you are looking for the calming benefits of meditation, you might check it out.

Maybe it is just me, personally, but I don't find most recipes for making people's private spiritual experiences publicly-accessible to me to be very specific or comprehensible or operational. Is this typical-mind fallacy, or do others feel the same way?

I feel this way. I usually assume it's someone else's typical mind fallacy keeping them from explaining, or else certain word sounds are connected to different meanings, or else I am neurodivergent such that the explainer is used to people who don't need to have it explained better, or something to do with signalling that went over my head.