Certainly it isn't hardwired in any relevant manner, and people are in fact just fine not reproducing, see vasectomy.

Don't just repeat platitudes. People are killing themselves over not being able to have sex, or rather not being able to prove they're proper functional men. It has at least as much to do with social status as with actual sex.

Knowing you aren't held in respect by your peers doesn't cause depression because of culture or society - every single living organism with some sort of higher brain function gets "depressed" when its peers hold it as less valuable.

This isn't platitudes, this is science, and shows the solution likely isn't down the path of telling people 'losing your junk" jokes are harmful. Choosing to not have kids are far different than having that choice taken from you, and the most viable solution is likely chemical intervention.