Absolutely not necessary. My fridge moves between 3 of my trucks, and only the 80 has dual bats. You need to be careful, and remember to run your truck every other day or so, and keep the truck and the fridge in as much shade as possible. It is comforting to have 2 batteries, but assuming you are not by yourself, the only downside of running the battery all the way down is a jump from your buddies, and the ribbing that would generate.
You could also carry one of those jump starter packs, as they work surprisingly well-we used one on a Chevy big block 454 Suburban and it turned it over slowly but the motor caught.
I take the fridge in my FJ40 all summer with one battery and it will sit about 3 days before the battery is completely gone. Make sure to use a deep cycle since a regular starting battery does not like to be run all the way flat, although in my FJ60, I've gone on trips with the fridge and just a standard (cheap) starting battery. Just use some common sense and you'll do fine.