Teardrops (or squardrops like yours) need lots of ventilation. People put out a lot of moisture. Without good ventilation and no insulation, you'll get
a lot of condensation on the interior walls.
Hang on, we'll get to insulation in a bit.
You can eliminate most of the condensation problems with a roof vent fan (and two screened windows). You don't need to run the fan very often but you'll want to crack it each night. You can eliminate all of the condensation issue with a ceiling vent and wall insulation. Either way, you need two screened windows to crack.
So each night you need a draft coming through the windows and out the vent. Having teardropped for sixteen years –with a teardrop without insulation in the walls and with– I'm a big believer in insulated walls. They are much better but not for what you would think –its the condensation issue.
Insulating a teardrop after it's constructed isn't going to be an easy project unless you just want to glue foam on and that doesn't seem the direction you're headed. What I would recommend is to use the heck out of your new camper this summer and see if you have a problem. Then maybe consider adding carpet to the walls or something along that line.
Just make damn sure he's putting a roof vent fan in.
Tony