I'd expect flats on cars to be correlated. People tend to buy tires in sets, so age related factors affect them all. Similarly they tend to get driven on the same roads, so are subjected to similar environmental damage.
Also, people are good at noticing patterns that don't exist, so that's a possibility too.
Related, having flat tires on a car seems to come in little bursts,like 10 years none and then 2 in a year.