Ah, here's another consumer who demanded velvety smooth shifts. I've been look for you.
In modern automatics I would think that the fluid management systems are much more capable of compensating for the fluid viscosity. Since their goal was providing those cursed velvety smooth shifts, the systems compensate for the full range of viscosity differences at various temps. That variance would trump any hot visc differences by an incredible amount.
Now in a purely hydraulic system there would be a tendency to limit the amount that the system can compensate for.
That would not translate to smoother shift. I would mean firmer/more pronounced shifts when cold.
That naturally assumes that everything is doing its job and succeeding or failing due to its limitations in the respective application.