There's a lot of times when you can tell that the books were written in sections by completely different people, and those people seem to have a meeting once and then never again. So at some point in time they talked about chainsaws doing double to barriers, but later someone changed their mind and never told the other folks.
Core pg 198 has a chart showing which attacks deal extra damage to barriers. Projectiles have special rules, explosives and anti-vehicle missiles do double, but that's it. No mention of chainsaws anywhere in that section.
However, both the Underbarrel chainsaw listed in Run & Gun pg 53, and the Monofilament chainsaw listed in Core pg 448 do mention double barrier damage in their descriptions.
So yeah... I would agree that someone intended for chainsaws in general to do double. Either that got nerfed, so they wrote it in special. Or it just didn't make it onto the barrier chart during any of the errata passes.