Not really but it does also depend on the amount a bow is out of tune and what the arrow will be doing at impact........arrows with broadheads that behave like field points self correct pretty quickly out of bows that are only slightly out of tune. They can get going straight relatively quickly.

However there are a good number of broadheads depending on fletching size and style of course that will magnify even slight tuning issues and cause erratic flight.

A badly out of tune bow, one that you can visually SEE even field point arrows whipping around is the worst case scenario........some of these inherently accurate broadheads will still fly pretty darn consistently, the problem lies in what the arrow is doing and the direction of its force and momentum on impact that is the issue.
THOSE are the true band-aid shooters and the ones doing themselves a serious disservice by simply finding a broadhead that flies where they want it to go without regard for what it will do when it gets there.

We should all strive to get those arrows flying tip over tail from the second they leave the bow. It will maximize the performance potential of ANY broadhead and not create a sense of false confidence in the fact that your broadheads are at least flying very close to your field points. That doesnt necessarily mean they are flying STRAIGHTwhich createsthe best penetration possible on any given hit.