If you arrows are well tuned, and all the heads are the same weight, it should not make much difference at all.
I hunt mostly with 150gr German Kinetic heads. I use the 1 1/8" wide ones for bigger animals that I want/need more penetration, and the 1 1/2" wide ones for deer size and smaller game. After losing a couple of those expensive heads in hogs, I decided to try some cheaper alternatives, and now carry Magnus Stinger 150gr and Wasp Traditional 150gr for that. I have killed critters with all three, and really can't tell a lethality difference.
Bisch