I had this thought tonight. The Generator is sitting there drained, blown clear and ready to put away. It'd take me no more than 10 minutes to pour some 50:1 in there, run it for a few minutes and drain the rest back into the bottle. I keep a bottle of 50:1 hanging about for the Sthil line trimmer, so it wouldn't be really onerous.
Given I don't leave things really fueled up and the fuel lives in a sealed container for less than a year, perhaps stabiliser isn't actually warranted. I might try a bit of 2 stroke oil with a stronger dose just prior to storage.
I recently changed to Amsoil Saber 2 stroke oil for all my 2 stroke gear, which seems considerably more tenacious than the Penrite oil I was using before. Let's see how that goes.