Do you have research papers pointing to this specific type of sperm competition in humans
? Including for the claim that expression of certain genes governing type of sperms is regulated by a nebulous stress response to "my wife is cheating on me" ?
It makes no sense to have this type of sperm competition selectively triggered on and off in humans.
Humans are half way between tournament species and pair bonding ones, females are not strictly monogamous, and more importantly, nor are men, so the mechanism to evolve (should it exist) would be most likely not triggered by a stress response, but active all the time.