I look at it not by actions, but instead by calibers...
I tried that once.
It didn't work out for me. If I was hunting with my Mossberg when I had been using my Benelli, I would forget to cycle the action. When I would get used to clicking a safety on and off of a Browning Abolt on the wrist I would forget on the 700 it was up on the right.
I found that I did a lot better if I just stuck with one type of gun.
If I had more time and money to practice, I am sure that I could eventually be proficient with all of them, but when I am missing an opportunity to kill a harmless fuzzy creature because I was manipulating it wrong, I get aggravated.
This completely leaves out if my life was in danger...