No, 100W is without heat (I should have mentioned that) and without hot water.
You need around 1200kwh per month (annualized) heat a medium home. That's just the math. Whether that energy comes to you in the form of fossil fuel or electricity doesn't matter, that's how much you and everybody else is using for climate control. The fact that it appears on your gas bill instead of your electric bill doesn't mean you're using any less power.
Nobody's gonna save the world by turning off their 3-watt LED bulb an hour earlier each night, cutting a whopping 0.09kwh (0.009%) from their monthly usage.
I can't believe this is true outside e.g. Alaska, Norway, etc. I live in an area with a lot of cooling needs and very moderate need for heating, almost all of both are done with electric, and 1200 kWh per month is a good guess for total average home usage, heating/cooling, lighting, video games, cooking, all the rest.
Your post, although interesting, is the edge case.