Clearly the regulations have not caught up to the AC. The current revision fo 14 CFR 61.153 is dated 2013, yet the AC is 2015.
So my bad-----sorry. You are correct, follow the AC.
On a side note: Technically "Advisory Circulars" are non-regulatory in nature. They only provide guidance. Many years ago, even though I followed the guidance of an AC, and the FAA admitted that I did, it differed slightly from the regulation.... I lost my license for a period of time because the regulations take precedence.