Toyota WS is a low-viscosity fluid, with similar viscosity properties to DEXRON-VI.
While AMSOIL ATF may work, the transmission would not function properly under cold temperatures as it has been programmed to take advantage of the lower viscosity of the fluid.
Use the Toyota fluid only. After all, it's only $45/gal...perhaps $5/qt more. But heck, I'd be willing to spend an extra $20-$30 every few years for insurance.