Another waste of academic resources. Obviously the horse was domesticated 7000 years ago, arguably warfare was impossible without them.
Not only is warfare possible without horses, it is possible to even build entire militaristic empires without horses (Aztecs, Incas, etc.). Inter-tribal or at the least clannish warfare was actually common fare way back into the Paleolithic and very noticeable, even in some cases endemic in the Neolithic societies, e.g. in Pre-Columbian Brazil, as in many other places that lacked even metals, warrior clans took warfare and raiding basically as a "yearly tradition" with or without any concrete reason). Fertile Crescent societies were experiencing violent and wide expansions of organized states (e.g. the unification of Lower and Upper Egypt) even before horses were first used in the region.
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As for "1 man for 17 women", that should be read in a much more moderate way: "1 man left male (the only ones with a Y-DNA) descendants in the long term compared to 17 women who left descendants in the long term". The fact that only men have Y-DNA already IMO favors the random extinction of some local lineages, but in any case we shouldn't presume that those men died and 17 women were left. There were so many factors involved in a male's reproductive success: slavery, socioeconomic status (usually much more relevant to men than to women), the ability to pay a dowry, the freedom and access to resources to take care of one's offspring (don't forget 30% to 60% of all children died very young, many of those BA men may have had children, but none survived into adulthood) etc.
Just look at some examples from seemingly more "civilized" and "modern" eras: in colonial and post-independence Brazil, which must've felt initially pretty lawless and full of population expansions and crashes like the Bronze Age, you had some 6 million European immigrants, 5 million African forced immigrants, some 5 million natives that were reduced to probably 500,000 to 1 million by the 1700s. Yet what you see in the average gene pool is
not a direct proportion of the number of immigrants that came and the local indigenous people (that would be more or less 50% European, 41% African, 9% Amerindian), it is in fact more like 60-70% European, 15-25% African, 10-25% Amerindian. In the Y-DNA the disparity is even much more striking: 85-90% of the paternal lineages from Europe, some 10% from Africa, only 5% from Native America.
Those African and Native American males existed, they weren't all annihilated at once, there was no time in history where more than 80% of the men in Brazil were white. They just lived tougher and shorter lives, had no wealth and/or no freedom to raise a family, had little socioeconomic strength to compete with the white males, and were probably shunned by many women as potential candidates for marriage and procreation (families actively encouraged, partly because of "Brazilian style racism", that is, the lighter, the better, the so-called "redemption of one's race" by making the family lighter and lighter - and thus possibly more respected and valued by society - along the generations).
I'm absolutely sure that similar dynamics were present in many previous historic periods, not just in the Bronze Age, but perhaps more strongly so due to the tribal and actually more properly clannish nature of those societies and the lack of larger meta-ethnic institutions, polities and identities not centered around bloodlines and kin loyalties (e.g. empires, bureaucratic states, universalist religions, etc.).