The unit of torque is N-m. Turns out this is the same unit as a
Joule. Sometimes a text points this out, but whether it does or not,
it is often (or at least should be) made clear explicitly or
implicitly that N-m is more expressive of the concept of torque and
its mathematical origin.
I'm quite sure I never thought of g in the same way because of the
way I was taught: "its units are m/s^2 and it is the acceleration of
gravity" was a common shortcut description, although we always "knew"
that this was fraught with difficulties.
N/kg is much more expressive of g's concept and mathematical origin.