@ gums
Elevators are trying to make the jet get to one gee ( corrected for attitude).
Gums. maybe it is just me, but when you write this I keep on thinking that you are inferring that the aircraft is not actually flown to 1g.
If you consider the whole range of genuine 1g level flight conditions the aircraft attitude could be anything from (say) 2 degrees to 6 degrees. An accelerometer fixed to the airframe could read between 0.9994 and 0.9945. If you are going to use that accelerometer to maintain 1g level flight then you must adjust the accelerometer output to correct for those attitudes.
Is this what you meant?, because if so the reference to attitude correction is superfluous as the aircraft is actually flown to 1g period.