In short, "Yep".
Thit cut really fasi Hornady reamer is designed to pass through the crimp and then have the cutters remove just enough brass from the crimp to open up the primer pocket to civilian dimensions. I have my Hornady reamer checked into a bench-top drill press and I run it at low r.p.m. I raise the case into the reamer, slowly, holding it between my thumb and forefinger while moving my finger down my thumb to rotate the case about a half-turn. This is done to account for the possiblility I might not be 100% square with the tool. This technique works pretty well and it is fast enough that I can ream 50 cases in about ten minutes (everything I load is in lots of 50, 100 or occasionally, 200).
My only complaint with the Hornady reamer is that I don't think the one I got was properly hardened. I started out using the knurled handle Hornady sells to accompany the reamer, but after about 500 rounds, the cutting surfaces had lost their sharpness and it became a real ordeal to try and ream primer pockets by hand using it. That's when I tried chucking it in the bench-top drill press.