If you buy the OEM grip this won't happen. My grips are tight, tough and never let me down. No flex
The Canon grips cannot avoid the laws of physics. If you add more form factor to the tripod connection point (grip), then you will add flex. It also makes a longer pendulum out of the system. If you throw a 24-70 on a Rebel and time the tripod settle duration, it will be higher with any grip than without.

