Nonsense, what does that have to do with the origin of gas?
Even if you write that it is physically quite simple, you seem to lack basic knowledge.
Here in numbers:
Burning gas for heat: 100% efficiency
Gas power plant + heat pump: 40% * 500% = 200%
With this naïve calculation, do you seriously dare to question the basic physical knowledge of others?
Sorry, but how long did you have physics? Until grade 9?
PS:
Economic efficiency is not pure physics. It also includes the ratio of gas price to electricity price and of course the additional costs of the heat pump...
But business administration probably wasn’t taught until grade 9 either ;)