I personally have no problems using a Peak 1 white gas indoors as long as you can arrange a non-flammable area to set it. Quite a heater. I love Esbit, I guess it would work, I've used it in the cab of my pick-up when it was really damn cold. Not a ton of heat there. Propane camp stove should be just fine. Do you own your place? Maybe consider an upgrade to a gas stove, throw in a set of gas logs if there is a fireplace, nice back-up heat and ambiance. The new gas stoves are a little too high tech, no oven for me when the power goes TU. Apparently pilot lights are forbidden in the new age of stupidity.
Past non-power emergencies for me happened in warm weather, that for me was just an excuse to grill everything in the freezer that looked grillable before it went bad. Buy extra ice early to keep the beer cold. Winter emergencies are easy, just leave the beer outside.
Got a Coleman lantern? Good for indoor light and heat. I now have two, white gas and propane. Need more.