Pulling would lower contrast, just printing down a dense negative usually gets you better blacks so a little more contrast. Also, if you overexposed two stops and pulled two stops, you'd be printing normally, not printing down.
However, as Conrad Hall found out, if you overexpose a lot, more like three or more stops over, you get a somewhat flatter look because all your information is on shoulder of the characteristic curve. I once had some 2nd unit footage came back five stops overexposed and I was able to print it down to normal but the contrast was a bit lower. You also get somewhat greyish whites and sometimes a color bias you can't correct for in RGB printing.
The desert flashback in "Courage Under Fire" was overexposed 3-stops, pulled 2-stops, and left 1-stop "hot" more or less, and had a somewhat muted look.