Hi and thanks.
If I have understood well your answer, as a matter of trim at take-off, it is more a question of the necessary aerodynamic force to be developed by the horizontal tail(as a whole, HS incidence(trim)+elevator) at the specified rotation speed (so that rotation is possible at this speed) than a question of mechanical force needed to deflect fully the elevator surface.
For example, if the specified rotation speed is let's say 140 knots and trim is set 0 (incorrectly), even at full elevator up defelection, rotation does not occur ( fwd cg case) and the aircraft will have to consume more runway and rotation occurs at a higher speed. Inversely, for an aft cg case, an incorrect trim at take off leads to a nose up before the specified rotation speed even when full down elevator is applied.
On another hand, I think runway elevation and outside temperature count for trim value calculation at take off since q (the dynamic pressure) depends on these items.