For colder climates, there are two issues: monitors and bezel flaking. Monitors because the sudden temperature differential between off and on can cause neck failures.
With bezels, especially glass bezels (and to a lesser extent marquees), the coefficient of expansion is signifigantly different between paint and the glass. As the glass gets cold, it will shrink more than the paint, which stresses the paint and can cause it to lose adhesion to the glass. In severe cases, it will cause the paint to pucker. Long streches of cold are less damaging than repeated cooling and warming cycles. Heat can produce similar effects, but they are generally less pronounced because the heat will render the paint more pliable and more likely to ride out the expansion of the glass.
Neither of these are a significant issue in Texas, unless we get a freak cold snap.