Your question's answer is relative to the airspeed of the aircraft. The faster you travel for a given vertical gust, the smaller the resultant change in relative airflow.
WRT the lift formula, a 10% increase in speed will give an 11% increase in lift and (as LF=L/W) the resulting LF. Then you need to factor in the changing Cl as AoA varies, so you really need to look at it on a type by type basis if you want an accurate answer.
All you need to know is that going faster than Va in moderate or higher turbulence is bad.
(Another way to think of it is that it won't matter how deep it is, you'll be in the siht regardless.)