Yeah, I've checked the archived pages of their fee structure and it even increased to 0.001 from 0.0005 during the 2017 (year end) crypto market crash.
http://web.archive.org/web/20171230062232/https://support.binance.com/hc/en-us/articles/115000429332
Was talking about during the crash, not the start of 2017 BTW.

Then he must be talking about other exchange or just rounding-up his wallet's average absolute fee.