i tend to hang clothes away from the heater cos, when they dry quickly, they go stiff. i shake them a little when they come off the airer and they're all good. E never whinges - and none of her clothes go in the dryer. if they do feel a bit stiff, i shake them out before i fold them, scrunch them in my hands, then fold them up.
I would have thought the same thing too. Drying in front the heater makes some things go like cardboard. Bamboo nappies are the same!

Maybe move it back a bit so they don't dry so fast or give them a good scrunch as they are drying.