For CG to be a factor, there must be acceleration. Not much of that if you push over while slowing at the top of a climb, and yet she'll snap if you do that.
Gator - the acceleration is provided by the thrust from the TR acting about the vertical C of G of the fuselage.
The mechanism causing the lack of positive G might be different between a pushover and an updraught (turbulence) but the result is exactly the same.
We keep coming back to the fact that prevention is far better than cure so don't fly fast in turbulence and don't do pushovers
