Interesting hypothesis.
Yet, in the animal world the best athletes are produced by keeping bloodlines pure.
For example, all thoroughbreds -the finest athletes bred by humans- trace their ancestry to only three stallions, i.e.
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the Byerley Turk (1680s),
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the Darley Arabian (1704), and,
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the Godolphin Arabian (1729).
Furthermore, only Group 1 and Group 2 winning colts are allowed to become stallions. The rest are usually gelded.
This ensures that the breed keeps getting better and faster.