Body position is more critical to recoil control, bipod bounce, etc. Weather you shoot the bipod loaded or not is more of a positional need than anything else. If you are trying to wrestle with the rifle to try to control recoil, accuracy is going to suffer as you are inducing stress into the system. Body stress, stressing the rifle, creating non repeatable positioning.
In all shooting positions, coming to a relaxed, natural posture is going to be your most accurate repeatable shooting position. Its no different shooting behind a bipod.
Think of a pendulum. Positioning the rifle so it will lever off your shoulder, off the bipod etc. is going to make felt recoil more pronounced. If you position your body inline with the rifle, feet straight behind you, rifle inline with your body posture, rifle parallel to the ground and perpendicular (square) to both of your shoulders is going to give you the most recoil control. Rear support under the butt of the rifle is also important.
Here is a video that gives a view of several different shooting positions in a short amount of time. Watch the shooter in the background as well the shooter in the front. Different positions. Different recoil management dictated by position.
https://www.youtube.com/watch?v=kEUbJbf6TKI
The shooter in the front is shooting the Evolution Bipod at the full extended length.
He won the match (Shameless Plug)