I just looked that up and that appears to have been an EF2 tornado. That intensity deals an order of magnitude less damage than the EF3, EF4, and EF5 tornadoes that regularly appear in the US, which can literally tear entire houses off their foundations. A brick building in those conditions would be reduced to individual bricks.
I worked on a cleanup crew after hurricane Andrew. Huge H-frame metal girders on highway structures were bent like pretzels. Entire lime groves were uprooted and piled like tumbleweeds. Houses were completely exploded. It was similar to what I imagine a bomb going off would look like.
A log cabin would not have survived the worst areas of it I don't believe.
I can see that there are manufacturers selling log houses certified for cat-5 (245 mph) hurricanes.
I do of course understand that any construction will be blown away at some point, I just cant picture it. The way the logs lock each other at the intersections and how the structure still is sound with no roof should help quite a bit.
EF4 or EF5 tornadoes are around 2% of those in the US (https://en.wikipedia.org/wiki/Tornadoes_in_the_United_States), which means any state with more than 34 or so a year can expect to see at least one. That accounts for 14 states with a combined population of about 106 million people. That's approximately 32% of the total US population.
8%-ish of tornadoes rate EF3. At which point any state with seven or more a year should expect at least one in the EF3-5 range (yay, birthday paradox!). That's 32 states totaling 270 million people - 82% of the US.
I find a flaw in your logic, but don't have a pithy name for it. Population densities and EF4/EF5 tornado probabilities are not uniformly distributed throughout a state, and probably are negatively correlated.
Looking at this image (https://en.wikipedia.org/wiki/File:Improved_Average_Annual_T...) from the wikipedia article you linked shows this, with New Orleans, Atlanta and Miami being outside their state's main tornado zone and Houston and Chicago right at the border of high-tornados and medium-tornados.
Oh, you're absolutely right. I simplified immensely by aggregating at the level of a convenient political division that has only vague bearing on actual geography as well as assuming the distributions are uniform across the range in question.
I think the overall point is sound, though. A huge chunk of the US population is in territory regularly subject to strong tornadoes.
Also, I would beg to differ that this map puts Chicago at the edge of a high-tornado zone. It's solidly in one, as is Kansas City.