The 'positives' to me initially, about using Simple Green, were mainly due with the feedback I liked with it on the stone, and the fact that it keeps the stone so clean in the process and then rinses completely clean with water afterward. Extremely easy to keep a stone 'like new' that way. It was just the drying effect on my hands and the potential rusting issues with some knives that eventually swayed me away from using it for sharpening.
Mineral oil is fine for feedback, and it's what I use to wet my stones now, when I use them wet; I've even started using it on diamond hones for feedback's sake. But sometimes I do touchups with a dry stone, and a clean, unoiled stone is preferable to me for that (it's easier to wash & clean if it's never been oiled). A porous stone used with oil tends to collect and hold the oil and swarf within the stone over time and then takes a little more work to clean it up when it needs it. That, in itself, isn't such a big issue anyway, and the oilstones I use are inexpensive enough, I can reserve some for use with oil, and others for not using oil. For my hands' sake though, mineral oil is definitely the best at keeping them from drying up (the hand lotions I use are mineral oil-based as well), and it doesn't contribute to any rusting issues on blades either; even helps protect them a little bit, wiping down the blade with it afterward.
David