I think every manual I've ever seen for 2 cycle engines stresses using "fresh" gasoline. Well, I've used everything from gas that I bought that day to gas that's been sitting in the garage or storage shed for a year or more. The engines always started OK, so I wondered about the advantage of "fresh" gas. In 1970, I bought a new 2 cycle 2 hp Johnson outboard boat motor to use on a canoe and aluminum rental boats. It had a one quart gas tank, so I'd mix my gas and oil in a larger can but I always started out with a full tank of gas and also carried a one quart oil bottle with the pre-mixed gas & oil. If the motor ran out of gas, even in fairly rough water, it was easy to refill the tank without spilling gas by just turning that one quart bottle upside down in the filler neck of the motor. And even when I wasn't using the motor, I kept the gas tank full. Then my job sent me to Northwestern University for the 1971-72 school year and when I got back we lived in an RV until a new house was built, so that boat motor with a full tank of gas sat in the garage for over a year before I got to use it to go fishing again. Hmmm, started just as easily as ever and seemed to run just fine. And when it ran out that day, I dumped my quart of fresh gas & oil mix in it, restarted it and took all again at full throttle. Wow! I'll bet it picked up at least 500 rpm with the fresh gas over the old stuff.
Now that was before I started using Stabil in my gasoline, as I do now, so I don't know if the results would be the same or not, but I don't throw any gas away.