I couldn't bring myself to use oil on my CF stone so I tried a couple of drops of dish soap and it worked quite well.
Forty years ago I used to sharpen pocket knives on a Wash*ta and a Hard Arkansas. I used Smith's honing oil and they worked very well. Those stones are long gone now. IIRC I never had any trouble with the stones loading up. I used to wipe the oil and swarf off with a paper towel and that was sufficient.