Regarding stored gas, consider K100. It comes in different versions for diesel, gas and marine gas, maybe more. It's about $25. Half a bottle treated what I thought was in my MH, leaving more for other stuff in my collection. Available at parts stores, but probably not at the crappy ones like AutoZone.
https://k-100.com/
If you want to run the generator, you can just disconnect the negative cable. I'm not going to run mine until early spring. To exercise it, you are supposed to run it under load. If an RV generator engine can't sit a couple months without damage, then Onan ought to have done a better job building it, in light of the fact that I own a Massey-Harris tractor with a Continental engine that is now sixty-six years old, sits without starting for months on end, did not even have the advantage of modern multi-grade or even detergent oils for the first twenty years of it's life, yet works hard as hell when it is run and has today the compression of a brand new engine. I also have a Honda industrial engine, three motorcycle engines, outboard motors, car and truck engines that sit without special care, then start and run without issue. IMHO, the requirement that generator engines (and, for that matter RV diesel engines) need regular starting and TLC is pure RV industry bull crap to make consumers think any problems are their fault, not the poor design and quality the industry pumps out and over-charges consumers. But, do as you wish.