That sounds like bull.
Most people think synthetic oils are so good because they are "super-slick". That way the transmission will want to move more But the truth is just the opposite. Syn oils viscosity is the same with the petro oils if the the are the same grade. Syn oils are better because they "cling" to the parts better when you shut down the engine, so there is still some measure of lubricity during startup. Also syn oils tend to run cooler, due to the reduced friction. While also being able to withstand higher temperatures without shearing. And of course as good ultra low temp oil due to its ability to stay liquid at very extreme cold.
We used Redline Oils in our Auto Tranny of a '87 Acura Legend(my mother's car). Honda's back in the 80's had notoriously weak auto trans back then. And the Legend was even worse since it was an Accord tranny fitted to a larger motor. Many folks were reporting tranny failure at 20-30k miles. We switched the cars tran fluid to Redline, and immediately noticed crisper shifts, even after running hard in the mountains and hills. Usually if the tranny ran hot, then the shifting would get very very rough. Never again after the switch to synthetic.
All my current cars now run either Mobil 1(engine) or Redline(tranny, differentials). That and good safe tires, and tire pressure are such a cheap insurance for a "family" vehicle. What is your inconvenience worth, even if you only run into a major mechanical catastrophe once in your life?
Tej