Oh Jesus Christ, of course. So your impression was that there is a thing called slow wine, made via Slow Food-friendly processes, and that Slow Food is hypocritical because it eschews it. Got it.
OK, so here's the thing. No one calls natural wine (or any other kind of wine) "slow wine." The poster who offered a detailed definition of slow wine that referred to the process etc. etc. was... um... not writing on behalf of the organization. I don't know of anyone in the wine industry who uses "slow wine" as an industry term of any sort. The phrase was coined when we were looking for a name for a meet-and-greet event for Slow Food. It seemed like a natural fit.
Do Slow Food's principles apply to wine? Yes, sure. In the same way that they apply to cabbages, or beef. But examples of that sort can be multiplied indefinitely, and it'd be a little silly to run around calling them slow this and slow that, though (increasingly) people do it. So no one, as far as I know, uses "slow wine" to refer to a category of wines.*
Natural wine, on the other hand, is a category of wines, those that are made with minimal intervention. Contrary to the impression I managed to convey, we don't eschew it at all. We emphasize wines that are good, clean, and fair, just as we emphasize foods that are good, clean, and fair. The closer they are to that ideal, the more we emphasize them.
Natural wine tends to be a good fit, though people differ a lot in their enjoyment of it. It would definitely qualify for a taste education event, no question. (In fact, I like that idea. I don't know how many we can actually get in Ohio, but it'd be worth asking.) That said, for Slow Wine (the event), which serves in part as a meet-and-greet for people of all different levels of experience and interest in wine, there are a lot of different wines we can choose that are still consistent with Slow Food's principles that won't be so overwhelming.
I (dearly) hope that clears things up.
*ETA A quick Google search suggests that the term "slow wine" has started to be used sporadically here and there recently, but as far as I can tell not with a lot of consistency... mostly to mean "wine created using sustainable practices," as far as I can tell.