Yep, if using
vegetable glycerin (vs petro-derived glycerin), it is healthy and good stuff for all kinds of uses. Not a chemist, but an interesting thing on that: glycerin is a humectant, meaning it draws and retains moisture. Soap/detergent is a surfactant, meaning it lowers the surface tension of water, enabling the solution to "float" the swarf rather than it just embedding on your plate. I wonder if an ideal cutting fluid for manual sharpening on diamond plates would give you both: a surfactant, AND a humectant. The surfactant, to float the swarf as indicated. A humectant, to bond to the water molecules in your cutting fluid and prevent them from evaporating as fast. Glycerin as a humectant should, in theory, slow the rate of evaporation of the water molecules in your cutting fluid (because glycerin attracts and bonds to the water molecules--that's how it works whether in your shampoo, or on a diamond plate). Thus adding glycerin in the right amount, could enable your cutting fluid to stay 'wet' longer and work more effectively.
Good that you mentioned glycerin, right now I've been experimenting with a 50/50 mix of castile soap/glycerin (and a couple drops lemon oil--because I like the smell

). I've been sprinkling a few drops on the plate, spread them around, then add a few drops of water. I'll tinker with this a bit to see if changing the ratio of soap-to-glycerin makes any difference, or if just using pure soap vs soap + glycerin makes a noticeable difference.