RP HPS series is likely Group IV. When it comes to Royal Purple's SN/GF-5 offerings, I doubt it. There may be some PAO in it, but I doubt that it's primarily PAO based. It's very unlikely that Syntec is primarily PAO, with the possible exception of GC 0w-30. After all, Castrol was the one that pushed for the opportunity to label Group III oils as synthetics in the first place.
For Group V, you'll find things like Red Line, but that's not an ILSAC rated lube. The same applies for various Motul offerings. The Delvac 1 I'm using is primarily PAO, but that's certainly not an ILSAC rated lube.