We agree on the central role of astronomy of ancient Egypt. Egyptian binary series were as you report prior to 2,000 BCE. However, in the RMP every binary series was corrected, eliminating the 1/64 round off error. Not one lunar calendar was mentioned by Ahmes as you discuss the topic.
In the RMP binary quotients and scaled remainders were used in weights and measures, a method of division that Ahmes would have also used to divide lunar cycles by the number of days in the year.
The RMP 66 cites the division of 10 hekat, written as 3200 ro, divided by 365, thereby computing the daily use Look at the numbers. Robins-Shute, 1987, muddled your type of binary multiplication proof (while fairly mentioning that products and remainders were shown).