> If electricity is 3x as much as gas per kWh the heat pump should be less expensive to operate.

This would be true if heat pumps were free. But "less expensive to operate" needs to justify cost of installation over some measurable period of time. If electricity is 3x more expensive than gas, and the heat pump is 3-4x (2.5-3.5x realistically) then you're barely squeeking by except on the days when the pump is most efficient (when it's already warm out). That 3.5 - 3 leaves 0.5, amortized over the lifetime of the heat pump...might not even pay for installation.

So, make heat pumps free or energy cheaper, I guess.