I drove, brought one, but didn't use it. Used my small George foreman grill instead. I see no reason why the electric skillet wouldn't have worked, just wasn't as interested in doing as much cooking as I thought!
The A/C recycles the air, it doesn't exhaust it. We cooked bacon in our one-bedroom with the stove exhaust fan on and you could smell it down the hall for a couple of days.
I bought a small square one and used it simply to make pancakes for breakfast and dinner a number of times. It worked perfectly.
As pointed out, there is no exhaust fan so be very wary of what you cook - pancakes are all I attempted, but no reason why french toast or eggs couldn't be made. Also, common sense, but I don't recommend frying anything, even if you have a deep skillet. The counter space simply isn't built for that sort of use and could be hazardous in a number of ways. Cool and clean up immediately so no damage comes to your skillet or more importantly any passerby's, the counter space is small and things can be knocked.
If you bring one - remember, you'll also need non-stick utensils and a mixing bowl. In our case, I pre-made the pancake batter and packed it in ziplocks. I'm sure airline security scratched their head at 4 large ziplocks filled with white powder until they noted the skillet and recipe tucked inside.