I like the way you point out a few valid points in general terms and then conclude in hand-waving generalisations that logically this means you must "find yourself blanketing an equivalent area in solar panels".
What about the billions of people who live in sunnier climates? We'll just kill the research because it might not be viable at all latitudes?
And even then we'd need proper figures. You say 1KW/m^2 is maximal (where - UK, equator, 1 mile above sea level?) but even at 10% of that with lousy weather, well doesn't the average house have 50-100m^2 of roof? If you could consistently generate only 100W, that negates a LOT of the stuff you leave turned on all day.