Interesting that the "NTSC" look you describe is essentially rounded versions of the coefficients quoted in the comment mentioning ppm2pgm. I don't know the lineage of the values you used of course, but I found it interesting nonetheless. I imagine we'll never know, but it would be cool to be able to trace the path that lead to their formula, as well as the path to you arriving at yours
I’m sure it has its roots in amiga or TV broadcasting. ppm2pgm is old school too so we all tended to use the same defaults.
Like q3_sqrt
The NTSC color coefficients are the grandfather of all luminance coefficients.
It is necessary that it was precisely defined because of the requirements of backwards-compatible color transmission (YIQ is the common abbreviation for the NTSC color space, I being ~reddish and Q being ~blueish), basically they treated B&W (technically monochrome) pictures like how B&W film and videotubes treated them: great in green, average in red, and poorly in blue.
A bit unrelated: pre-color transition, the makeups used are actually slightly greenish too (which appears nicely in monochrome).