I'll concur with the
"Never been bird hunting/watching, have you?
Birds accelerate and decelerate very quickly and unpredictably." comment. Also with point defence being like the mechanics of skeet shooting. Used to do a lot (a really lot over more than 30 years) of both.
Skeet used to be used to teach ariel gunners how to deal with moving targets and develop a feel for the amount of lead you needed to put your projectiles where the target was going to be in the time it would take for said projectile to get to that point. Both skeet and trap were used because while skeet is mostly passing shots, trap forces you to deal with longer distances and relative rates of change. Bear in mind that with both skeet you are shooting from known distances at MOSTLY similar flight paths.
And, no, the targets in skeet and trap do NOT always go exactly the same path (for each station- and the relative path and changes in speeds vs distance you are dealing with change based on swith "station" you are shooting from. With skeet the birds should always fly though a ring of set diameter just outside the box of the # 8 station. But they don't. That is due to all sorts of things such a chipped or partialy broker bird- which changes the speed of what does come out and makes the bird behave erratically. Wind- any wind, or rain will also change the flight action. The dam things will do the oddest things rising, dipping, etc.
Trap is shot at birds going away. The thing is that the machine doing the throwing is moving between several directions of throw so the angle the bird is going away from you isn't known till it actualy leaves the house. At that point exactly the same things will effect the clay pigeons as happens from skeet except that with trap thay are all starting from very close to ground level and climbing before then start to drop in a semi-ballistic path. Think Firsby thrown on a low climb and eventual settling and slowing a bit.
Bird shooting. They change speed, veer off, cut in various directions, tower up or dive- no particular reason- and then you get to deal with the things the bird is also dealing with such as wind. And they may be doing most of that at the same time though towering does tend to slow them down a bit because they are going UP so if they were going "straight" forward the moment before they are going to start loosing speed as they change direction and go for altitude. Birds DO understand aerodynamics at least as far as it applies to their own ability to fly and make both sudden and exceedingly minor course corrections even if truly awful wind conditions, [try duck shooting on salt water in January in a snow storm] and most of the time they are going to be activly attempting to be tough targets. Heck, for a lot of birds, if you are chasing them in woods, they are already going to be needing to fly (at flank speed) though an obstical course in 3 dimensions to get away and they are going to be moving to avoid stuff you can't see.
I have seen a grouse flush in light woods, get shot at and keep accelerating and rising slightly- until it slammed into the rock-face on a steep hill. Examination found that it had been hit (and wouldn't have lived) but its brain was focusing on faster and higher but seems to have missed "collision alert" and it tried to fly though something.
It still boils down to shooting at someting, where you think it is going to be such that your shot (which is going to be slowing down and spreading out and opening "holes" in your pattern) will intersect with the target at a future point......and you had best keep swinging your gun to keep adjusting where it is pointing because it DOES take time between when you think "shoot", your finger pulls the trigger, the shell goes off AND the shot exits the barrel. You stop swinging (or lighten up on the swing) and you are going to miss because you will have shot BEHIND the trajectory of the bird.