One complication for this theory is that fertility affects sexual behavior; women are more likely to have sex during their most fertile time of the month (https://www.webmd.com/sex-relationships/news/20040609/sex-he...). A breeding urge explains this phenomenon, a mating urge doesn't.
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The more I think about it the more sense this makes to me: there is no innate urge to breed, only to mate. It's what tricks you into breeding.
One complication for this theory is that fertility affects sexual behavior; women are more likely to have sex during their most fertile time of the month (https://www.webmd.com/sex-relationships/news/20040609/sex-he...). A breeding urge explains this phenomenon, a mating urge doesn't.