That said, if the manufacturer says the camcorder will operate between x and y temperatures and it cannot operate in that range, then there may be some false advertising that would not be legal.

Camcorder Operating Environmental requirements/limits/specifications are typically in the User Manual or Operating Guide of the camcorder... in the back.

If you want details about a particular camcorder, go to that manufacturer's web site, download the camcorder's manual and check it.