I agree except with the last part. AFAIK there are very few overlay approaches left, as they have been removing overlays for many years as the number of true RNAV approaches have been growing. In fact if I'm not mistaken, the existence of a working RNAV approach is a condition for removing the overlay from a navaid-based (usually VOR or VOR/DME) approach to the same field. If an overlay exists, it's mentioned in the title of the approach (VOR OR GPS). I haven't flown an overlay approach in at least a couple of years now.
There is certainly no overlay on the VOR/DME 35 at KMPV. There used to be a VOR OR GPS-A approach at KVLL, but they removed the overlay -- at about the same time they let the VOR the approach was based off of go permanently OTS too, leaving a permanently unflyable approach still on the books (yep, it's the FAA, what they do doesn't have to make sense).