Porous stones used previously with oil can sometimes be cleaned sufficiently at/near the surface, to make use with water less problematic. A really oily stone will make water bead up on the surface, which basically negates the advantages of using water for sharpening. But, with hot water, liquid dish detergent and a stiff brush, the surface of the stone can at least sometimes be cleaned well enough that water or other wet solutions won't bead up. I mention this, because I've tried it myself.
I've also verified that oil will do a much better job actually suspending swarf on the stone, which in turn will make it easier to keep the stone unclogged and cutting aggressively. It occurred to me, at one time, when I was using a porous stone originally meant for oiled use at the sink for sharpening with water, that the swarf I was rinsing from the stone would immediately sink to the bottom of the sink. Point being, the water wasn't capable of actually suspending the steel swarf at all, even temporarily. That's when it clicked in my mind that it wouldn't suspend swarf on the stone either, and swarf would immediately settle deeply into the pores of the stone. By contrast, if the surface of the stone is oiled, you can actually see the oil suspending the swarf so it can easily be wiped away periodically (microfiber towel is great for this).
As for the Simple Green mentioned earlier:
Simple Green is alkaline in pH, enough to be caustic. It'll induce rust-spotting on non-stainless blades. I found that out the hard way, in sharpening a 1095 blade on a natural stone using Simple Green for lubrication. It's also an aggressive degreaser, which can work for cleaning an oiled stone, but it's also very tough on the skin of the hands (as I found out myself), really drying up my skin in a hurry. Some aspects of SG I liked - it smelled nice and gave nice feedback on the stone. But the negatives of using it made me decide it wasn't worth it to me, for sharpening purposes.