ltrshooter, I have some experience shooting with a monopod and will say it being attached to the rifle is the big sell for me, can't forget it or leave it behind and cuts the load-out weight as well
I use the monopod to "steer" the rifle onto the target, I don't let go of it before breaking the shot (Think of driving into a sharp curve then releasing the steering wheel, nobody does that right?). With a bolt gun I'm adjusting to re-acquire or to a second target while working the bolt, a gasser its just point and shoot.
For static targets, I adjust the monopod "leg" until the desired sight picture is achieved, with the horizontal cross hair just above target, then I slide my off hand down on the leg to the supporting surface (whatever I'm shooting off of) making the heel of my hand the interface between the supporting surface and the leg of the monopod. Then I can raise or lower ever so slightly my sight picture with just a bit more or less hand tension.
For dynamic or multiple targets, I use the leg like a lever, swinging it front to back to raise lower and pan the sight picture, the off-hand heel is still the interface between supporting surface and monopod.
That's my experience, yours may be different.