I'm not a seasoned hunter, but I can confirm POI change for sure with a strong wind. I shot today at 40 yards and my entire pattern was several inches to the right. Wind was a stiff 25mph crosswind, and I had no idea it would affect it the way it did. So I'm going with YES, definitely. I'm not even sure I'd have hit the bird with the effects I saw.
I did shoot at 20 yards too and the effects were minimal at best. At 40 I could REALLY see the wind effects.
Shooting a 870 20ga and TSS 9's and the gun/optics were previously sighted in/patterned, and I was shooting off of a bench rest, so this wasn't a case of anything except the wind