First off lets take the tube type red dots out of consideration. I've shot with the tube type red dots and IMO if you are going to limit your visual field with a tube you may as well have the benefit of some magnification that a true scope will provide. So, I'll simply compare open frame Reflex Sights and Handgun Scopes.
IMO a lot will depend on how well you shoot and your maximum "useful" range. In addition it also matters on where you will be doing your hunting, there is a big difference in what works best in deep woods in comparison to wide open range land.
I'm old and trying to chase down a wounded deer has the potential to result in a trip to the hospital for myself, so I do not take shots that are marginal for me. That means that my personal 4 inch limit is 35 yards. Yeah, that's conservative. If you've ever pulled a shot because you got the "yips" and jerked the trigger you'll understand why I'm conservative.
At that range and less a Refelx sight is nearly ideal. They allow you you nearly as much visual field as open sights while providing a much more accurate means of sighting. However, one potential downside is that something that is white or near white in full sunlight can make the dot difficult to see. That's a simple function of contrast, any laser generated dot that isn't harmful to look at will be a bit "brightness challenged" by a white target in full sunlight. On the plus side most deer hunting in Michigan is done in the woods where shaded targets make shooting with black crosshairs a real challenge and deer aren't typically albino white.
Now, if you are shooting from a fixed rest for accuracy at long range IMO nothing beats a good scope. Once you get past 35 or 40 yards the dot size for almost any red dot sight on the market will start to obscure enough of your target to impede pinpoint accuracy. In addition the lack of magnification will make it more difficult to pick out a precision aiming point on your target. I've found that a 2 X scope will allow me to just pick out a 3/4 inch target dot at 50 yards so it becomes rather simple to put the crosshairs on that dot. Get out to 100 yards and I need more magnification to see that aiming point. Bottomline, when you are trying to hit a dime or a quarter it's kind of hard to beat a scope, however in a wooded setting for hunting I don't think a scope is nearly as useful as a reflex sight.
Finally, a bit of illustration and perhaps a tease. In the center of the image below is my "deer gun", a 10mm 610 that will drop a whitetail within 3 steps with one of Double Taps hunting loads. One huge benefit for this setup is that it only took me about 2 minutes to carve out a bit of clearance for the sight in the Galco Silhouette that I carry the 610 in. BTW, the sight is the J Point Reflex mounted on a S&W specific mount from J Point.