Our tax on natural gas is already higher than electric. If we buy the same amount of heat in a whole year (not accounting solar panels) we would save about €200 per year (almost 20%).

We have also bough an heatpump for €7000, of which we get abour €2300 as subsidies for a heatpump.

To answer your question, yes it could. But a knife will always cut on both sides, and people will always be unhappy about a change. But in this case the world would benefit from it so I think we should but more tax on non-renewable and put less on renewables