I'm well aware of that. A cell phone with a 2000mAh battery holds about 8Wh at a 50% charge efficiency and the low end of your estimate you could still fully charge 20 of them, which is irrelevant to the original post.
We have no power to our cabin, and one of the guys brings a portable CPAP every year to deer camp and runs it on the deep cycle from his boat all weekend. It runs on 30 watts. That solar panel is more than enough.
Ah, my apologies, I assumed it was a normal consumer appliance that converted 120 VAC to whatever the VDC and amp necessary to run it. Yea, the watts it eats is low enough and if it runs off a VDC voltage you can find a battery for, you could initially charge it with a battery charger and keep it topped off with a solar charger.
Only thing I'd caution is running most deep cycle batteries below 50% shortens their lifespan. Regularly running it to near 0% can dramatically shorten their lifespan. No big deal on a once a year camping trip, but it'd still be a good idea to avoid if plausible. But if the draw is light enough that you don't eat up half of the battery overnight and can charge it all day, then yep, it'd be perfect solution.