Natalism, for the most part, is one of these question-begging nonsense positions (as are most life-affirming positions anyway). It doesn't take an extended journey in the procreative ethics community to realize this. Some natalists play dress-up and call themselves "anti-antinatalists" - a clear indication of their ungrounded premises. By "refuting" antinatalism, these self-styled anti-antinatalists think they have proven natalism. Yet this natalism is precisely what still needs to be justified!
Almost all the natalist rhetoric I have read depend on this fallacy. They take it for granted that the majority is right, and that the burden of proof is on the antinatalist for everything.
It is correct, of course, that the antinatalist must present arguments for antinatalism. And we have. But this also means that the natalist must present arguments for natalism, not just against antinatalism. For the null position here, for any discussion, is agnosticism, i.e. we are not sure whether or not birth is moral (or recommended or acceptable or whatever).
Say, theoretically, every single antinatalist argument currently available was suddenly refuted by a super smart natalist (a contradiction in terms, ah but I'm just being polemical here...). This does not prove natalism. We start out in the agnostic position; if all antinatalist arguments are shown to be false, we still remain agnostic. For we haven't heard any of the natalist arguments, for natalism, yet! To assert otherwise is to beg the question, i.e. assume natalism as a premise without justification. This is quite literally the same reasoning that agnostic atheists use to sneak in atheism as the "null" position.
In other words, those natalists who think disproving antinatalism justifies natalism are essentially "agnostic natalists" - they don't have any arguments for natalism, yet for some ad hoc reason have adopted it anyway. It's incoherent.
But what do the natalists have in terms of arguments for natalism? Nothing too impressive. Appeals to the majority (I consistently see antinatalism described as being "implausible" to "most of us", even in professional ethics), appeals to emotion ("but I waaaaaant kids!"), rules passed down from religions, or even political enforcement of childbirth. Perhaps the only decent argument for natalism that I have seen is one that bites the bullet of the mere addition paradox and accepts that we should maximize how many people exist. That one at least is grounded in some sort of rational deliberation.
If antinatalists went about the same strategy, would anyone accept antinatalism? Why should appeals to majority or emotion or religion prove anything?
In any case, resting one's belief on a refutation of another's is inherently unstable. You are dependent on the contingency that the opposition has no further arguments to present. Ideally, the fact that other people are willing and able to criticize your own beliefs ought to make you realize that you need a better justification for your views, instead of just accepting them as self-evident.