life span of gasoline
I can only give an answer from the experience of doing it, not that its right or wrong. Every gas can (premix and regular) that I have gets fuel stabilizer added to it, including my outboard fuel tanks.
I do run my 25 h.p. 4 stroke outboard "dry" every time its hauled out of the water to insure the carb is empty or very close to it. I did the same thing with the 2 stroke it replaced for 10 years. Both have never had any carb issues that I'm aware of. They start right up every season. The gas tanks usually have gas that can be up to 6 months old in them (with the stabilizer). I haven't had problems that I'm aware of, but maybe they're just around the corner??? Remember though that when you run a 2 stroke "dry", you're also running it dry of lubrication....so keep it at idle when the fuel runs out!
After racing 2 stroke and 4 stroke motorcylces for 20 years, a lot of the "collector" bikes that we had sat for long periods of time. We found that the 2 stroke "premixed" carbs showed less signs of "varnishing" in the float bowls than their 4 stroke bretheren.
Like I said at the beginning of this post: I can only give an answer from the experience of doing it, not that its right or wrong.