Yes...ish. However, consider the greater performance scales with generators combined with the amount of useful heat that one gets out of a heat pump can be bet

Yes...ish. However, consider the greater performance scales with generators combined with the amount of useful heat that one gets out of a heat pump can be better than converting the natural gas to heat locally - even with losses on the grid. The key is that a heat pump doesn't convert electricity to heat (as a resistive heater) but rather moves heat from one spot (outside) to inside with great efficiency.