If you live in the Rust Belt, check where the center of the wheel is welded to the hoop. Most powdercoating jobs don’t cover this area, so that’s where rust tends to form. Check cast aluminum wheels for cracks in the casting and the bead seats where they might have made contact with something. If the wheel has been driven with loose lug nuts before, the lug nut seats might be damaged and that is how wheels are centered on the studs. Damage there might lead to vibrations or other weird issues. If you are buying beadlock wheels, check the hardware to make sure the threads aren’t stripped or stretched. If you can’t visually inspect them, quiz the seller.