I certainly agree with what's been said, a properly tuned set up should yield excellent flight with just about any head you can think of as long as it's on straight.
Broadheads are definitely not all created equal when it comes to what I call "forgiveness" though. A crappy release (all too common in the excitement of a hunting situation) or a cross wind can create a more noticable reaction or resultant wind drift in some heads than others.
Broadheads I have found to be very "forgiving" are the Howard Hill, STOS, Tusker Concorde, Grizzly, Wensel Woodsman and Magnus Stinger. I'm sure there are others as well.
Again, with proper tuning you can shoot most anything you want. I personally broadhead tune my bows with the biggest, nasty and unforgiving heads I can find. When those are flying laser straight and grouping with field points I know I'm done.