If you are shooting wood, the first thing I'd look at is your taper.
Learn to shoulder your taper and you wont have this problem ever again! Unless of course the arrow is crooked, then the taper will be off. I save these for my practice arrows and the straightest for my bh' arrows.
Like C2 is saying make sure the head is seated and not "floating" on hotmelt. If it floats on the hotmelt, it'll be a pain to get alignment, though not impossible.
I also had good luck with the WW and Snuffers, and just about every other head I have had as long as the taper was on.
I did have some heads the original WW's that were off. That was back in the Biggie HOffman days, and he promptly fixed it and they all spun perfectly on the new arrows.
Lastly, if you Nip the tip off you might end up making the tip not true to the axis of the shaft. So try spinning them on rollers and not on the table if you will. If that tip is off at all, you'll never get a true reading of how that head is mounted and you'll fit it tooth and nails all the way home. Atleast I did. I dont like the needle point, but I don't want to screw up alignment even more so I can deal with the needle point.
Plan on shooting a bear sometime soon with a WW. Be the first head I've used to actually hunt big game with since I first started 17 years ago. Eskimo's rule, hard to change when something works so well.