Btw here's an email I sent Stata in 2012, suggesting a clarification to their descriptions of the "unequal" and "welch" ttest options. Got a polite reply but I don't think they changed it :)

In the '90s when I worked at Abt and MDRC, I wrote an email that initially had the subject header "OLS without apology". I shared a later version with Freedman, who cited it as "Lim (1999)" in his "Randomization does not justify logistic regression"

I don't wanna put words in Rosenbaum's mouth ("spectrum" is just a word that came to my mind for a quick Bluesky reply) and I'd really encourage anyone interested to read his papers and the Stat Sci discussion in full, and then critique them. :) But here's a screenshot from his reply to Manski

I don't know the history of the terminology, but here's Scheffe (1959) defining "completely randomized" the same way that Peng does