The video here is a bit of an eye opener as to the barrel harmonics of an airgun. https://www.youtube.com/watch?v=RftoBqi_y-M&t=169s
What the guy has done is attach a laser to the end of his barrel and on firing filmed the laser spot on the target with surprising results, now bear in mind this is FAC rated so will be more pronounced but it gives a clear idea of how much movement and therefore the poi there is with an air rifle, also how useful it could be to experiment with muzzle weights to tune the barrel.