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The red lines would propagate next to each other because covid is caught from a person, not randomly distributed across the population
But it's not the population of the country that makes up your "line".
It's the circle of friends of said covid denier, that makes up your line.
That circle of friends is drawn from random bits of the (possibly clumpy) total population, so the clumpiness disappears.
My last attempt before ditching the idea and call everyone saying they don't know someone who had covid a liar...
The red lines would propagate next to each other because covid is caught from a person, not randomly distributed across the population. So you'd have clumps of red, not 5 million 0.114mm lines evenly distributed.