I just have a quick supplement to that.
I think the notion that electrical space heating is purely baseboard, of course, is incorrect. It's widespread and speaks to my earlier comment that builders loved it because it was cheap to put in; you slap them in the rooms, and each room is controllable. So there are reasons for it, but it's not an efficient way to heat a house.
Both gas and electricity offer opportunities with, say, ground-source heat pump technologies, which are tremendously efficient. The problem is they're expensive to install; their up-front capital cost is expensive. But the payback is their very low consumption. You wouldn't use it everywhere. For instance, I have a condominium with other heated residences on both sides of it, so I'm really heating two walls and helping my neighbours. I have old-fashioned baseboard heating in there and my bills are very reasonable. So to get me to switch to something that would require a significant capital outlay, well, good luck. The payback has to be within a reasonable period to incent someone to make that investment. Again, that's where programs come in, to see if they can shrink the payback period to something that passes whatever internal hurdle rate you may have to make such a purchase.