etymology of this Go-specific meaning of "read" in English -- did it come from 読む or elsewhere?
I took a quick look at Lasker's 1934 "Go and Gomoku." As far as I can see he never uses the word "read" or "reading". He mentions the analysis of positions, he once mentions foreseeing a complicated variation, and describes Karigane and Honinbo Shusai as "deliberating" or "considering" at points where we might say they were reading. Then on the very last page he quickly mentions "careful calculation of the different variations" and "calculation of a combination without glaring errors" as important skills for budding players. So I'm guessing neither the word nor the concept of "reading" was current in 1934. "The Game of Go" (1956) doesn't mention reading either.
"Go for beginners" (1974) seems to introduce reading on p. 62: "Occasionally we find a beginner tracing the path of a shicho with his finger... However, such boorish behavior is unnecessary. You can easily read out a shicho by eye alone..." But I don't see any evidence of it elsewhere in the book (again, after a quick skim), and some examples of describing what we call reading as "thinking ahead" or "seeing".
In 1975 James Davies started "Tesuji" with an essay on the importance of reading, and although he unfolds the status of reading, he does not seem to feel that the word itself will be strange to the reader. Reading is already familiar to the presumed audience of the first issue of Go World in 1977: "Nothing else can bring a game to so precipitate and humiliating a conclusion as a mistake in reading a ladder." Most of us are familiar with the strong emphasis on basic reading skills in "Lessons in the Fundamentals of Go", which is translated in 1978.
So on the basis of this sketchy review of some of the relevant sources, it seems that the term "reading" might have gone from completely unknown to a well known substitute for "calculation" by 1970, and then subsequently it became an important theme for writers/translators of Go books. But it's no use for me to speculate, I'm sure we have members who can serve as primary sources.