I clearly stated 'natural gas or electric'. Which is obviously true (58%, and if you see that Fernwärme is produced by power plants, 64%). Energy for heating is not a full third of what oil is being used for, it's split with the other uses (like chemicals). In total the use of oil for households is around 20% of total oil energy consumption and 16% of total oil consumption (for transport, that's 65% and 52%, respectively).

I entirely agree that gas and coal (and to a lesser degree, electricity) should also be taxed. They already are, by the way, to a lower degree. As is mineral oil for heating, see here and here.

So your statement

But the real issue are not gas taxes. The real issue is the lack of taxes on oil consumption outside the traffic sector.

is wrong on all counts.

It is most wrong because these are all real issues. And the 'ecological movement' is addressing all of these issues. At least the weatherisation of homes is something I hear about a lot, even from the current German government.