Thank you, Doug.
I wrote to Brian, who responded very quickly, suggesting that he was likely mistaken. He's going to make a note in the errata for his memoir.
Tom Van Vleck also wrote saying that he was unaware of there ever being an acronymic rendering, and that he recalled an early meeting in which Jerry Saltzer was quite adamant that Multics was a proper noun, not an acronym, and therefore mixed-case. He did say that occasionally people joining the project would mistakenly write 'MULTICS' until corrected; apparently some of the GE folks in Phoenix were in the habit of doing this, perhaps due to prior familiarity with GECOS.
- Dan C.