OK. I think I have found the key and it is not that wet wipes are putting much fluid into the substrate. It's that those edges of the "wet" work need to be feathered quickly, even as the wet rag is drying and you're ready to wet it again and move on. Hit all the edges with light swirls before doing that.
And then yes, as said above go back with just minimal wetness on the cloth. The whole problem for me is there was no way to do a much less wet wiping with the particular mico fibre cloths I got at Pep Boys. Soft....yes! But something about the length or in-rows pattern when dry really catches on the relatively smooth surface of the Hi Power. It catches almost on my fingerprint grooves, certainly any minor roughness at all on the fingers. I went to a local linen shop and was able to find only one brand of very soft "loop" weave face cloth. I could tell from rubbing on my hands dry they should be a lot better. But even with them, only on one side did it feel that smooth, though both had loop designs.
So using airscapes process in post 28 I was finally able to do much dryer final passes and kind of "buff" as he said like you would final touches on a car after waxing. I found still the damp but no longer wet rag to work for me, maybe better than with completely dry rag. Just enough dampness to where if you see any trace of a mark you can lightly work it out with the dampness. It is really looking good now and I will wait a day and see if I have to do any more.
WHEW!! Scary pain in the butt process when you are not sure of what is going on. But now that I know it should be piece of cake to keep it looking great.