You're both OK and right with your thoughts.Have no interest in how it vibrates. All this physics is not going to change where my bullet goes one bit.
Some folks have an interest in knowing why their bullets go where they are fired. A few come up with ways to compensate for some variables so bullets land closer together on target. Best example I can think of is tuning weights on barrels' muzzle end. Very popular these days in benchrest and rimfire match rifles. There are many who think they're an emotional crutch and do nothing because the barrel is motionless until after the bullet is gone.