The base oil comparison is a mood point - you need to consider the full package. I am not saying that Amsoil or Redline do not make good products but it is possible that an ATF made from the best PAO oil in the world may not be well formulated. Transmission fluids contain the highest percentage of additives and are the most complex to formulate of any lubricant - the right chemical combination of a high quality additive package with a high quality base oil is critical.
Petro-Canada is a global supplier of ATF's to OEM's - they would not put their name on a product unless it was a top quality product.
But if we are to talk just base oils, one who has actually done comparison testing of high quality Group III+ (VHVI) base oils versus the equivalent viscosity PAO would be suprised at the marginal difference. PAO for high viscosity lubricants, absolutely PAO owns this space (high viscosity Group III do not exist or even if they do exist, they are extremely difficult to manufacture), but for low viscosity (such as those used in ATF's), the difference is marginal. So for a marginal difference, it is tough to justify paying a premium for a PAO only because it costs more to manufacture.
At the end of the day, both Group III (VHVI) and PAO are "synthesized" materials (not naturally occurring) with dramatically better properties for automotive (& industrial) lubricant applications which sets them far apart from classic "conventional" base oils.