Society became much more complex than a tribal village where the elders decide everything, and so have the levels of indirection in how control of reproduction is wielded. The situation is also quite a bit more complicated now that populations are able to grow so far above the local carrying capacity of the land. Yet we can still trace a line back to when it was necessary for a community to collectively maintain the sustainability of their population by deciding how many children could be supported at any one time.
Drafts? They typically only targeted men, with a large possibility of maiming or death as the result.
The topic is not access to reproduction. Nobody is controlling access to pregnancy.
> the ones to decide who gets access to women.
Nor is access to women.
Access to reproduction is one of the most basic resources a society has available. It is common for the old men to control the young men by being the ones to decide who gets access to women. "Work for us loyally, and we'll allow you to get married"