This is true.
Texas for the most part is not prepared for blizzards or icy conditions. We do not have winter tires, we do not carry snow shovels. There are no snowplows that I have ever seen or heard of. We close schools after 1 to 2 inches of snow, and we put sand on roads.
Most people have heavy coats/jackets, but rarely ever wear them. But despite our under-preparedness, not many people die from cold weather in Texas.
This data is a bit old(2003-2008), but is illustrative.
https://www.dshs.texas.gov/chs/vstat/Hotcolddths/hotcolddths...