The CMM is only for shop-level maintenance. However, how many AMMs refer to pax seats? Which document used for maintaining pax seats in line or base? CMM!
This has been an anomaly under Part 145, now addressed by regulation 1056/2008 - see
here. [M.A.502 (b) & (c) most pertinent to 145]. Remember, this is in the IR, so is binding under EU law. (AMCs are not and are up to Member States/regulated persons to interpret/suggest/approve)
Most of the answers below also address the issue but Sonic's point about the MOE is spot on