A friend had to replace the TV in his 2-year old fifth wheel, and the dealer told him it was because he left the TV in the RV while winter storing it. Admittedly, he lives in Marquette, MI, but now...
i have a 10 year old LCD TV in my unheated garage (Chicago area). It's the same TV we put in the TT when we go on trips. It has never had an issue with being stored cold or even turned on in the cold. I use the TV while it's in the garage, sometimes in the winter.