It sorta works, but not really. It helps but not enough. Fortnine has a great video explaining how all stabilizers actually work. They all work a little differently.
My current vintage carb’d bike (1983 Suzuki SP100) starts on the first or second kick season to season. For prep - I run the carb dry, keep the tank full with stabilized gas, and change the oil and check the valves. Plug the muffler so no critters get in there and make sure mice don’t start chewing wires.
BTW - It’s actually not good to just idle the bike in the winter unless you get the engine to full operating heat for a bit. You can get all types of water condensation in the pipes and even in the valves. The H20 left after combustion needs to be in an engine hot enough to boil it off and keep it off, so just a few minutes of idling can be worse than letting it sit. If you choose to start it, go for a ride to get the bike nice and hot.
The winters are definitely the worst. I keep the engine together and just set expectations low for the first start in the spring. If it starts and runs well, it’s a major win. If it doesn’t, tinker time, but it’s not a bad way to spend the first warm days of spring in the garage.