Yeah. That's the practical reason why you stay with your group on the green and the tee.
We're talking about sticking around the green as a matter of manners. What the real purpose always had been was to make sure the little bastard eventually holes the ball and counts every stab it took him to do it.
So I've thought about this some more, and the more I think about it the less I like it. Say they do walk off, go to the next tee and their first ball goes OB (they hits cause no one is in range in front). You get to the tee and see them hit what should be his third but to you it looks like their first. This could only happen if there is sufficient distance/woods to muffle sound between the green and the tee, but on top of them not seeing your final putts, you may not see/hear their tee shot.
This is probably going to sound weird and will eventually backfire on me but I attribute a good deal of my improvement over the last few months to strengthening my grip...but I concentrate on the position of just my left hand. I let the right hand mesh with the left naturally. With the left hand I concentrate on the position of the thumb seam of my glove and where it lies on the grip, just a bit to the left of the right edge of the handle. I really have not looked at or counted how many knuckles I see. Somehow this has enabled me to eliminate any miss to the right and I'm hitting the ball consistently with a nice little draw.
This won't last forever of course. At some point something will go awry, but right now I'm having a helluva good time.