Bucky, Not at all if the arrow is stiff enough.
You said "the arrow shot the same"....well, no it didn't, you can't tell squat about how well arrows are flying by eyeball shooting fletched field points. Put a big ol' wide broadhead on 3 of them and shoot them with 3 matched field points. Then make an 85 grain change and do it again..You WILL see a difference. If you are well tuned the broadhead group and the field tip group will be mixed together. If not the field tips will be grouped in one place and the bh's in another. What ever bare shafts or wide broadheads are doing, your field points are doing also, you just can't see it...O.L.