Mad (Flt) Scientist
I'm not sure there is a specific aerodynamic term for what you describe - wing-body lift would include all of the wing contribution, not just the 'carry through' term.
So wing-body lift includes both the lift of the wing and the part that is "in the fuselage"?
The wing does get some benefit (or decrement, if you considered an isolated wing) from being on a fuselage (or vice versa if you prefer) but the theoretical wing planform in the fuselage is purely that - theoretical.
What variables increase this benefit? I assume a fuselage that was flattened where the wing intersects it, had wing-body fairings to blend it together and/or it's intakes were flatter than deep (if they were in the wing-root) would have better overall wing-body lift?