I guess most folks have always assumed that humans were somehow exempt from the natural laws, maybe because of the much greater degree to which we are able to reshape our environment to suit our needs (sometimes to our long-term detriment).
But so many growth-related things seem to follow a Gompertz function that I think it's likely we just don't yet understand all of the factors when figuring out our own carrying capacity.
I'm really curious whether our asymptotic population limit only applies to our population on one world, or if, were we to eventually become multiplanetary, we'd discover that a whole other planet wouldn't really increase our overall population that much.
I wish I could be around to see the answer to that question.