As far as where a gun shoots for you, the low #7 on a skeet field is handy for that.
Watch where that target just starts to drop, which with no wind is usually just past mid-field, point and shoot just before it starts dropping. That's as near an aiming point as a flying target can be. It will give good feedback on point of impact (if there is one!).
and if you miss or only hit with the fringe of the shot string- how would you know where the center is/was? I have found the 16 yard mount and shoot method a good start.
I can agree on the two dimensional aspect of a pattern sheet Vs something a least approaching 3D like Brister's towed target ( i have been unable to talk any 18 wheeler drivers into letting me use the sides of their trailers)
