Channeler is a pet class and the priest AA Litany of Combat gives us the Sacred Follower buff. I have been playing around with it. The construct does not have strikethrough and accuracy stat in the window so it's been difficult to confirm but I can see that the STA /crit bonus and multi attack portion doesnt affect the pet. I tested a bit with ACT and construct's accuracy in challenge raid varies a lot but doesn't seem be affected by our own accuracy. Didn't seem like Sacred Follower works for the construct either.