It's not apples-to-apples though due to the difference in heating efficiency. If you use N kWh to heat your house with a gas boiler, you'll use N/P to heat it with a heat pump. P is something like 3 or 4, depending on various factors (and who you ask).
I don't see many heat pumps in the wild - I do see plenty of resistive heaters and electric "power showers" still.
Potentially bigger. There are a lot of old non-condenser boilers out there, with a typical efficiency of about 70%. And even condensers are often not much better than 75-80%; to hit the faceplate 90%+ efficiencies the system needs to be balanced such that the return temperature is in quite a narrow range.