I'm in the "leave 'em wide open" camp. If I do close them for whatever reason, I don't depend on the little latches (I've had them fail more than once, I must be doing it wrong), I use a dish towel draped down from the freezer into the fridge.
I use a box of baking soda anyway, and don't forget to mop out the puddle in the bottom of the freezer (or any other little messes that might have happened during use).
Our fridge is clean, dry and ready to go all the time. When I go pick it up from storage, I do a quick check around the inside to make sure everything is still secured, close the bathroom door, close the fridge doors, and I'm ready to tow. It goes on shore power as soon as it gets home to start cooling the fridge down to accept groceries.
2014 Jay Flight 28 BHBE
2015 RAM 2500 6.4L HEMI, Tradesman 4x4, 3.73
Blue Ox SwayPro (BXW 1503)
Upgraded from an REI internal frame backpack and a Eureka 1/2 dome tent!