Here too, the repeated freeze/thaw cycles tear things apart. The force of water expanding into ice is irresistible. Things just break apart; that's how mountain ranges crumble. I'm in the exterior millwork biz, and this problem is the #1 consideration for all of our work.
I've seen speaker cabinet problems after just one cycle from joined materials having different thermal coefficients of expansion. In one case a laminate didn't contract as much as the MDF substrate and ended up protruding slightly where it should have been flush. In another, the coating crazed.
I think the biggest issue for metals comes from water condensation when returning to normal temps. I lost heat in the shop once, mid winter, and some tools rusted when the room was reheated. Stupid me, I heated with combustion, making things worse, shoulda gone with electricity. Most driver motors have ferrous components. If you can't avoid it, maybe pack them in sealed bags with plenty of desiccant. Maybe dry the desiccant first.