The RF28-70 F2.0L is so damn heavy on my R5 that I can't use it for too long. I can make great use of it in the studio, but the kit RF24-105 F4.0L ends up back ony camera the most.
For me, it’s a balance thing plus having room for my whole hand on the grip. When using the 28-70/2, or a similarly heavy lens like the 85/1.2L DS, on my R8 (on the rare occasions when I do so), my hand hurts after a short time. But I can shoot comfortably for hours with those lenses on my R1 (the E1 hand strap helps, too).
To be honest, I have no issues with the weight of the 28-70mm f/2, but there was a learning curve on how to properly hold the lens, when I bought it, that took a few assignments to get the hang of.
Since then, I have nothing to complain.
Before that, my left index finger was completely crushed, even sore on the day after an assignment.
I do not own battery grips, I usually use the lens on the R6, with my Peak Design Slide Lite, crossbody to the left. I'm mostly a skinny guy.
The most important adjustment I had to make to my left hand was dropping a little on the readiness to operate the zoom ring.
I was used to holding the 24-70 by the zoom ring, with my thumb and index fingers, to be able to turn it at any time, and that was a mistake with the 28-70.
For the 28-70, I do not hold the lens with two fingers on the zoom ring, just my left thumb, and I rarely zoom while looking through the viewfinder. I hold the weight almost entirely with my left hand, well open, and my index finger rests on the control ring, sometimes even touches the lens hood, which should give you an idea on how spread my fingers are. The lens really sits on the palm of my left hand, it's not suspended by the fingers, and I can remove my right hand from the camera at any time, without losing my composition. I'm grabbing the entire lens.
To me, that was the trick. Since then, I'm good using it for hours. On the day after a wedding, it's the legs that are tired, not my upper body.