No, but the law has a handwavy bit about "everything needed to get prescription lenses," which ostensibly would include the PD at plain reading since you can't make the lenses without it and it's based on medical information. Your stance vs. that one is the crux of the debate.

https://www.ecfr.gov/cgi-bin/retrieveECFR?gp=1&SID=797d7708f...

> (g) A prescription is the written specifications for lenses for eyeglasses which are derived from an eye examination, including all of the information specified by state law, if any, necessary to obtain lenses for eyeglasses.