If your gas boiler were replaced with a heat pump with an average COP of 4 it would only require around 4,000kWh of electricity to provide the same amount of heating.
Electric cars are similarly 3-4x more efficient than petrol cars on a kWh of fuel basis.
So while we should expect increased electricity demand as transport and heating are electrified, the increase in electricity usage will be far less than the decrease in kWh of fuel.
Sadly for me my gas is 1/4 the rate of electricity so it would cost the same. Ironically it’s the gas marginal rate that keeps the electricity cost high.
Rolling the heat pump into the overnight battery calculation could work to offset the cost of install of the heat pump but I can’t stomach the thought of replacing my radiators and pipes.
9,000kWh for electricity vs 16,000kWh for gas
That’s with charging an EV too.