I've had some LCD displays on cheaper tools get affected by cold, but more often from heat. That said, my OBD scanners, multi-meters, and a few other items in the shop sit out there in sub-zero weather during the winter and never had a problem with those, cheap clocks watches and toy stuff is another thing altogether...as for TV's, no idea. I presume mfgr's know a scanner is gonna sit in the garage, and cars sit out in cold weather all the time, but TV's are typicall in a house that is heated...
good question as I'm thinking of mounting a LCD myself in the shop...having finally upgraded the house tv a few weeks ago I'm hooked...