Agree on the Stabil. If you don't use it the gas has a tendency to cause varnish build up in the lines, floats or fuel injectors. Make sure you run the boat for a while with the stabilized gas so it gets to the critical end of the line components. You can also use fogging oil in the carburetor / intake / pistons....prob. not necessary for fuel injection.
I've always drained my lawn equipment to the point of emptying the tank and running it until the floats in the carb. are dry too and the motor stops running.
The thoughts of storing with a full tank are to eliminate as much air / open surface area in the tank so that condensation doesn't form in the tank, but then you have full tanks of 6 month old gas in the spring that needs to get run out as quick as possible. Gas is cheaper now than it prob. will be in spring though too.
It's a horse a piece as far as I can tell. I've never had a bad experience either way with my winter stored cars or boats. The Lazer had a half tank of stabilized gas for almost a year when the lower unit went south back in '06-'07.