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I have a perfectly sound explanation for that.
Snakes passing through. You'll still see plenty of snakes if you kill the rattler of a 1-2 acre territory, but that doesn't stop other rattlers or snakes from hunting there or passing through to go somewhere else. If a rattler with an adjacent territory has a lack of food, it'll go someplace else to hunt, but it will not permenately reside in the dead rattler's territory.
Now, all of this only applies if the territory is inhabited by something dangerous, such as goats, donkeys, and whathaveyou. A nearby snake may still come to hunt in an inhabited territory (such as for chickens) but it'll go back to its own place when it's done. Snakes passing through will mostly likely also hunt on their travels but they'll continue to go elsewhere.
We found a copperhead on our porch, but it was actively leaving. Our neighbors had a huge rattler by their house, killed it, and haven't seen another one since (they have livestock). I think having livestock is a major deterent for snakes, even the ones that are just passing through. For people who don't have livestock, they'll probably still continue to see snakes on a regular basis, ones that are hunting, or passing through. I have goats, horses, llamas, and chickens. The goats are with the chickens at all times. I have never had a snake around my chickens, because of the goats.
I take offense to you calling it an old wives tale. Talk to the AG extension people. They'll tell you that it's true.