What works in one geography may not work in others, and will often vary with Time.....I have a Honda lawn mower and genset. Both come with shutoff valves from the factory. Owner's manual for both recommends running the carburetor dry, and it also recommends to use non-ethanol gas if possible.
I used to store small engines dry, but we now tend to get white-deposits in carbs here, that tend to glue things together/shut. Around the time of my first experience with this ^ reality, I had gotten back into motorcycling about 15 years ago - after successfully storing my MC over our long Winters "wet", I went to storing all engines wet, treated with storage supplements in fuel. So far, pretty good.
E0 has been "disappeared" here too. If you can still buy E0 @ pump, count yourself lucky - it probably still compares (very) well with what I bought last, VP Racing T4.
https://vpracingfuels.com/products/vp-t4-fuel
2025 in "Advanced" countries..... street-drugs are cheap or free; Quality Fuel - not only really expensive, but You Need To Know Somebody, to get it....
Rgds, D.
(Edit - ^ for engines stored into Next Year/seasonal use, not for Years or longer.....)