Follow the argument to its conclusion.
Imagine that there were 9 males born for every 1 female. While it’s true that each male can reload quickly, and therefore in principle can impregnate lots and lots of females… there’s shitload of other males out there who would like to do the same. It’s not possible for every single male to impregnate the entire female population. One male might manage it, but that must necessarily mean that the other males do not have mates. Including that male’s numerous brothers. Success for the first male means failure for every other male.
Their DNA is not passed on.
So this species is, what? Putting out 9 males for every 1 female. The one female is pretty much guaranteed to breed, but the male babies are, statistically speaking, very likely to be a complete fucking waste. Too much competition from other males. Now mutation enters the picture. Imagine that a female starts giving birth to more females, and fewer males. Closer to the 50/50 ratio, rather than 9-to-1. Those females will breed. The grandmother who gives birth closer to the even ratio will have many, many, many more grandchildren than the other individuals in the species. And in that way, the 50-50 ratio will quickly spread through the population.
As long as the biological cost of creating male progeny and female progeny is roughly the same, the children of the species are going to be roughly a 50-50 ratio. The species is not going to tilt heavily female over male, either, for an exactly symmetrical reason. (Species like bees have different breeding habits, which is why they can sustain different sex ratios of their offspring. But the argument above holds for the sorts of animals close to us on the evolutionary tree.)
The parallel question was more often asked in evolutionary history. Why are there not a huge number of females, and only a few males? The species as a whole would be more likely to multiply in that case. Females can’t reload as quickly, so if the species had a lot more females, that species could increase in population much more quickly. But the answer to that is exactly the same: if males have next to zero competition, and can copulate on average with 10 or 20 females without any danger, than those males will have many, many offspring. Rather than sustaining a 9-1 ratio in favor of females, any mutation that levels out the sex ratio is going to produce more males, and those males are going to succeed wildly in breeding, and the more even sex ratio is going to burn quickly through the population until it’s much closer to 50-50.
Evolution is not about the survival of the group. It’s about the survival of the individual, sometimes even at the expense of the group.