I have done things all three ways from leaving gas in them, having them empty and the stabilizer suggestion, and I can honestly say, even with leaving ethanol in the tanks, it made absolutely no difference.
I always start out with new gas and dump the old.

What I have run into a problem with is I had an old Poulon chainsaw, which had not been run for four years, and was left empty, would not start unless primed each time for a few tanks of fuel. The diaphragm was fine and I blew out the jets, but it refused to cooperate. Of course it was things had dried out after that many years, but after everything got soaked in, it starts fine and runs fine.

What I was told by the experts was to put a cap full of stabilizer and a half tank of gas, non ethanol. As I said i get busy or sometimes it is impossible to get just regular gas here, so I use ethanol and have not had any problems with a Sinclair 85% blend.
While you have a plastic tank I will assume, I was burning gasohol when it was called that, and had an M which rusted the tank out. Have a WD 45 now which the guy I got it from always turned the gas valve off as it would leak. Being frugal I never bothered, left ethanol in there, no stabilizer and it has not had one problem with rusting or not starting.
The only engine I have ever had a problem with is the Buick 6 cylinder. It hates cheap gas, especially Missouri gas, and only did well with ethanol blends. I state that as we are always told never to use alcohol, and yet that is all I use and I have never had one seal eat through or have problem.

There is no wrong really from my experience, except leaving the tank completely empty for too long.

Been there, done that.
Luckily most snowblowers have a fuel shutoff valve. I've installed them on a few snowblowers over the years , cheap and easy.

I’ve gotten to the point I run everything dry then when I fill the tank I use nox-ice to remove any water which I would do anyway.

I just unhook it from the 3 point hitch and leave it outside .

I put sta-bil in my gas can,then go to the gas station and fill with non ethanol.That way whatever machine I pour it in,,the gas is already stabilized.

Every time I get gas for home I add Stabil, Techtron, and a shot of Marvel Mystery Oil. All my machines are run with the treated gas. At the end of the season I suck what I can out of the tank then run it till it shuts off. I haven't had a problem with any carb on any machine since I started doing this. I have swapped out Stabil for Star-Tron with the same results. Take care of your stuff and it will take care of you

I fog all my 2 cycles. 4 cycles about the same as all.

I have a second rider mower, an older Snapper that was doing just that. I'd shut it off and the next time I'd go to use it the crankcase would be full of gas. I took it in; they supposedly had it fixed. It worked a couple of times, but then started to fill the crankcase again. I took it back and they installed a shut off valve between the fuel tank and carb. No problem since.

I didn't hear anyone mention Sea Foam. One dealer told me winterizing or summarizing using Sea Foam is a waste of money. I was told the only thing Sea Foam was good for was taking moisture out of the fuel. What do some of you think?

I agree-money grab.

^^^^^
THIS.
The dealer that told someone to run it every two months and only use premium gas does not know what he is talking about.
For one thing, normal premium won't do a thing for you that regular won't do. Only use non-ethanol gas along with a fuel stabilizer.
Click on your State to find non-ethanol gasoline.
https://www.pure-gas.org/index.jsp?stateprov=WA

If you really want to treat your equipment well during the off season, mix up some of the following and run your engine entire you can tell the fuel mixture has made it all the way through the carbs/injector and into the combustion chamber (smell and smoke will tell you).
1/3 non-ethanol gasoline
1/3 fogging oil
1/3 fuel stabilizer

I along with a few of my friends use this mixture to winterize outboards, four wheelers, and other such equipment, both 2-stroke and 4-stroke. The equipment is usually stored 10 months between use.

I summarize a snow blower this way ,it is a machine (usually gas powered ) designed to move snow off of side walks and driveways .Most snow blowers are walk behind but some of the bigger ones can be mounted to tractors . lol.

^^

Run it dry. Or make a habit of starting your equipment all year long. I do. Run generators, ice augers, mowers, and whatever else you have for a few minutes once every couple months. Life is so much better when the power is out and your generator starts right up.