I saw that explanation from the CoolBlue site. I don't know where they got that idea - maybe AI gone wrong. It's simply not correct.
Nikon indicates the S represents a class of lenses that is superior - although they don't use the term explicitly as Superior. The lenses have design characteristics that can include better edge to edge sharpness, the ability to use them wide open, better bokeh, reduced color fringing, and weather sealing. Quality control standards are higher on S lenses. While they usually have less distortion, that can include corrected distortion. S lenses are normally designed with less focus breathing. Focus motors are silent or near silent which is important for video. The specific emphasis of a given lens depends on how those characteristics are balanced, so you might have a lens that emphasizes one characteristic a bit more. Optical coatings include more coatings and improved coatings compared to non-S alternatives. Pricing of S lenses is a bit higher, while non-S lenses are available at lower price points.
They are not slim lenses, they don't have anything to do with lens size, they are not professional lenses per se, and they are not distortion free. There are sharper and less sharp S lenses. Lenses designed for small size or lower price points are in almost all cases not S lenses, so none of the compact primes, DX lenses, or less expensive telezooms are S lenses. That does not make them bad lenses - but there may be limitations not found with S lenses. I own four non-S lenses - the 25-50mm DX, 50-250mm DX, 26mm f/2.8, and 50mm MC. All of these are included as eligible lenses in the gear list for NPS membership.
Here are a couple of links from Nikon sites:
Nikon's Chris Ogonek discusses the high quality of Nikon S line NIKKOR Z lenses.
www.nikonusa.com
Glass for the Nikon Z mount come in two flavours, so what is it about the pro-level S line that sets them apart?
www.nikon.es
Here is another reference from a reliable source:
photographylife.com