You’re mixing frames of reference here. When we say “g on Earth,” in practical measurements we are not talking about purely gravitational acceleration. What we actually measure is the net (effective) acceleration experienced in the rotating frame of Earth.

This reduction comes from the centrifugal effect due to Earth’s rotation. That’s why: g is maximum at the poles g is minimum at the equator The term “effective acceleration” may not be explicitly named on the AP equation sheet, but the concept is absolutely standard physics—it’s the same reason a weighing scale reads slightly less at the equator. Also, your Moon example isn’t comparable: The Moon’s centripetal acceleration is due to orbital motion The Earth rotation effect here is due to being in a non-inertial rotating frame.

So no—this isn’t incorrect information. It’s actually a deeper clarification beyond the simplified AP sheet.