I have a rotary and pretty much never use it. It's in my arsenal just in case I can't do what I need with the DA.
Right now, if you use either a long throw DA like the Rupes 21 or a Forced Rotation DA like the Flex 3401, and you use a microfiber cutting disk with D300 compound, it is very close to what a rotary with wool can do. But it is safer. The one downside is that the microfiber cutting disk wear out really fast. I have not been able to do more than 4 cars with one. Also D300 is very expensive compared to other compounds. So there is a higher cost to the safety.
I have nothing against Rotaries, but for me, I really don't see a reason to take the risk of burning an edge to save what... 30 minutes out of the entire buffing process?
But in the end, I think you should use what you are most comfortable with. If you like using the rotary for paint correcting, then using the DA for polishing, then do that. It's probably the fastest way to go about it if you do a 2 or 3 step correction. In my world 1 step is king. People with daily drivers are usually not interested in having a 2 day correction done.