I use red dots on all my hunting rifles - several of which are levers.
I use all types, including reflex sights and holosights. Most of my hunting is at relatively short range, so I find the standard 3 - 5 minute dots to be more than sufficient, though some of my red dots have 1 minute dots.
I shoot with both eyes open, and like the fact that the objective lens can be fogged - or even completely blocked, and I'm still able to make an accurate shot on game. This is unlike a scope that would be rendered useless in this scenario.
I have red dot sights on a Marlin 1895, a BLR, a Savage 99, a Winchester 94 AE, and a Winchester 88. I'm in the process of mounting one on a Winchester 94 Big Bore.