Yes and ….no.
Wholly dependent on more conditions than just stabilized fuel or not.
Fuel stabilizers don’t last forever. And I’d challenge the notion that they keep fuel viable for more than 6-12mo max.
They don’t magically eliminate evaporation, they slow evaporation of the lighter hydrocarbons keeping gas “fresh” longer.
would I use it “over winter” without question? Yes.
over a year? Nope
Other factors, plastic or metal tank, temperature swings, hi and lo temp, susceptibility to moisture intrusion, E10 or no E gas (E10 is actually good for “some” things like absorbing moisture it’s like adding heet to your tank).
Bottom line, it’s better to do something than nothing. And whether it’s sufficient depends on a bunch of factors that often get lost as petty details.
Example, I parked both my mowers last fall. Both carburetor engines. A newer 35hp Kawasaki and an OLD 12.5hp Kohler.
Between moving cross state and new job, selling, buying a house, frequent travel etc, I left them with plain ole 87 octane from guessing early October. Didn’t even remember to run the carbs dry.
fired both of them up last week to load and haul to the new house. Both started and ran like they had been started the day before on fresh gas.
Lucky? Maybe
Got them going before fuel went too rotten? Likely.