No, he means abstinence.
Is that what he meant? He didn't say.
Again, abstinence. If you abstain from sex, you are guaranteed not to have children.
True, but we've invented some novel ways to divorce sex and procreation so that you can have the former without the latter.
The only slight flaw in the argument is that people have time and again proved incapable of abstaining from sex.
I can spot another one. While a small minority of the population are happily and contentedly asexual, most people are not, and it is neither reasonable nor desirable to expect much less demand that anybody should lead a sexless life. Catholicism has been trying that one on for two thousand years, with what I shall generously call markedly poor results.
As you say, it just doesn't work, nor should it work. Abstinence in any case is almost always founded upon some truly unhealthy, laughably unrealistic and in many cases downright warped ideas about human sexuality such as you find in theistic religions especially and monotheistic religions even more especially. These ideas have been poison to the human race for thousands of years and we are a long time putting them behind us.