Yes, which is fine, that's why you mix PAO with POE and AN's. But as I pointed out earlier, that makes the whole blend even more expensive. Does it have performance advantages? Absolutely. Does that mean this will translate into real world performance for Joe Blow Consumer? No.
On the Group III, that's why they have to include carrier oils, because the severely hydrotreated Group III oils are also very non-polar (though, as I noted, not QUITE as bad as PAO, but it's not a big difference).
Blending with PAO is more work and more money, while the benefits are quite specific, which we've already covered. So, if your application doesn't require those benefits, a blender going out of its way to blend an oil with PAO doesn't make much sense.
To put it into gun terms:
Putting together a PAO-based Dexos 5w30 for example, is like hunting deer at 200 yards with a .338 Lapua. A .308 (Group III) will get the job done just as well, at a small fraction of the cost. You stretch that out to 1,000+ yards and the superior ballistics of the Magnum round become relevant, but few people are doing that, just like very few people are pushing their 5w30 to the point where the oxidation resistance of the PAO blend would become relevant.