No, your point was on using propane gas to produce electricity for heating. If your consider/complicate the equation with other energy sources (coal, wind, ...)

No, your point was on using propane gas to produce electricity for heating. If your consider/complicate the equation with other energy sources (coal, wind, ...) the outcome is more random. Heat pumps do not make sense unless the energy transition into the equation (wind and solar indeed). But also then, there are major shortcomings with wind/solar currently not yet fixed. For example, my home produces appr. 12 MWh solar energy per year and the heat pumps use a similar amount. Nice balance, but too bad the is a gap of six months between the two.