Maybe. Unlike the Volt, whose software will not let the gas get more than 1 year old, the Clarity is happy to let the gas stay in the tank forever. It will occasionally enter what is called a “System Check” and run the engine but nowhere near often enough to burn a significant amount of gas. My Clarity has not lost a single bar on the gas gauge in over 6 months.
It all depends on how you define “bad” gas. Searching on the internet I can find sources saying gas goes bad in a little as a couple of months (or less) while some say to up to 1 year. Certainly in a plastic gas can used for your mower it will deteriorate faster than in the Clarity’s sealed and pressurized tank, but how long before it goes bad even there? And the problem is that sludge and deposit build up is a cumulative event, so by the time it causes a problem, it’s too late to do anything about it.
Since I can drive for 6 months or more on EV alone without burning any gas, I have opted to add Stabil to my tank on the theory better safe than sorry. However, I think that if you drive enough HV miles to be adding gas once a month or so, you should be OK without it. You can search on the forum as it has been extensively discussed and eloquently argued both ways. YMMV, as always.