I agree with the tuning responses. If the arrow is well tuned to your bow set-up, if your form is correct and consistent, and the broadheads are true and identical, the field tips should impact the same as the broadheads. I tune my rig until this is the case.
I have experienced broadhead flight different from field tips -- high, low, and planing right or left. In every case my arrow and bow weren't tuned to each other. Even for a target set up, after I've bare shafted or paper tuned I always prove my set-up with a broadhead.