Do they? My impression's been the opposite in the recent years - S-curve is a meme at this point, and is used as middlebrow dismissal.
"All exponents in nature are s-curves" isn't really useful unless you can point at the limiting factors more precisely than "total energy in observable universe" or something. And you definitely need more than "did you know that exponents are really s-curves?" to even assume we're anywhere close to the inflection point.