Of course they do. Via The Telegraph:
People who claim to worry about climate change use more electricity than those who do not, a Government study has found.
Those who say they are concerned about the prospect of climate change consume more energy than those who say it is “too far into the future to worry about,” the study commissioned by the Department for Energy and Climate Change found.
That is in part due to age, as people over 65 are more frugal with electricity but much less concerned about global warming.
However, even when pensioners are discounted, there is only a “weak trend” to show that people who profess to care about climate change do much to cut their energy use.