I would not feel comfortable leaving ethanated (or even "pure" gasoline) treated with stabilizer...
And here's why...
About 20 years ago, I parked one of the family heirlooms, a 1954 Chevy truck, at my Mom & Dad's; it needed a transmission overhaul, which Dad was going to do. The truck had a full tank of fresh gasoline in it (16 gallons, and way before this gas-a-hol craze). Not wanting the fuel to go bad while the truck was laid-up, I added the appropriate amount of Sta-Bil, and bounced up & down on the running-board for about 10 minutes to really slosh it all around, then started the engine and let it run for a good while, until I was sure that treated fuel was in the system all the way to the carb.
Now, I expected the truck to be laid-up for maybe 6 months at the most... well, with one thing and another, 6 months has turned into 20 years, and the truck is still awaiting that ****** overhaul, and Dad has gone to his heavenly reward.
Until about five years ago, on seasonal visits to Mom & Dad's, I would usually fire-up the vehicles and let them run for a 1/2 hour or so. Couple times a year.
Then there was a lapse of a couple years.
About five years ago, I went to start the Chevy, and had all sorts of difficulty. I got it to start on starting fluid, but it would not pull fuel form the tank and run on the carb. It wouldn't even pull fuel from a jug under the hood.
Pulled the pump and carb off, and found both full of rotten, rancid gasoline, like I've never seen before, and the die-castings were fluffy white and crumbling inside, also like nothing I've never seen before.
I'm fully blaming the treated fuel, as I've tinkered with dozens of old vehicles and tractors that were parked years ago with just gas in the tanks and carbs, and they might've been varnished and gummy, but no where like the disolved mess I found in my grandad's truck...
All of which is to suggest that if the vehicle is going to be parked more than a couple of months, dump the fuel, and let things sit dry. Fogging oil would probably be okay, but my experience with Sta-Bil has cost me a fuel tank, carb, and fuel pump.
You results may vary.
It's so easy to drain the fuel from an A too....
As for "What would Henry say / do?", he'd probably ask " Whaddya mean you're parking it for the winter ???!!!"
If it weren't for the salt, I'd run my A year-round.
SC Frank