And, of course, in the UK, less than 30% of electricity comes from gas.
"Heat pumps just shift gas burning to the power station."
Wrong. Even if 100% of electricity came from gas, a heat pump at SCOP 3.8 uses 51% less gas than a boiler. At a terrible SCOP 2.5, still 25% less.
David MacKay made this point in 2008. The maths hasn't changed.