Not a cop out. You just picked a bad example. There are way too many factors going on at 11 for this exercise to have any validity.
I didn't pick the example. Ira did (IIRC). And it is a cop-out, because your new plan is just to apparently claim "too many factors going on." Well, if there are too many other factors that affect this, when are those NOT a factor, and where does "the angle" rank in that list? Because, if it's way after whatever you listed (and some things you probably didn't list), then I'm again going with "don't matter much at all*."
There were likely good lies of the 86 shots on the one side, and good lies on the 91 shots on the other side. And bad lies on both sides. And so on. "You Cannot Reason People Out of Something They Were Not Reasoned Into"
Probably most importantly, the strategy at 11 is to hit it far enough to get to the speed slot, thus getting some extra rollout and a shorter club in your hand, which makes a big difference on this hole.
These are where most people hit their tee shots on #11 (that hit the fairway).
11 is an example of where a long ball on the safest line is most likely going to result in better results. Perhaps you can break this one down for every drive under 300 and every drive over 300, and we'll see how it plays out.
What's that got to do with angles? Let's say we look at tee shots that left 140-180 in to the green. You know what you'd see? Way fewer tee shots. Lower scoring averages (duh), more GIR (duh), more shots inside 20 and 40 feet (duh).
This is where many players hit their tee shots. And on a longer shot, the angle should matter more, because the ball will not be flying and stopping as quickly, and it's a more difficult shot anyway with a larger Shot Zone. What you proposed has no value at all and is not on topic here at all - it's just talking about players who had a shorter club in than other players.
And there are a bunch of other factors here that need to be looked at. Where the pin is for each of those shots also makes a difference.
They're all the left pins by the water. The hole locations that exaggerate the effects (supposedly) of the angle with the water right there.
What the wind was doing on each of those shots makes a difference.
Those come out in the wash.
Augusta might not be your best example
It wasn't my example.
If you want to pick a hole to examine at ANGC, perhaps 18 would be better.
I didn't "pick" #11.
I'd like to see a study that tracks not just one shot, but the entire play of a hole. And run control groups for those playing for an angle
What does it matter if they "played" for an angle but then didn't achieve it, or if they weren't playing for an angle and did achieve it?
Tour players aren't generally playing for angles! More and more, they're realizing that what I wrote in 2014, what Mark Broadie wrote in 2014, what Scott's been teaching since late 2014 or 2015 or whatever… is true. They're realizing that what Jack Nicklaus said about how he plays is true. They're realizing that they need to avoid penalties (bad bunkers, trees, horrible rough) first and foremost, try to get it in the fairway second, and forget anything else, really. Aggressive with distance off the tee (so long as they can avoid stuff for the most part), and then conservative into the greens. Tour players aren't often "attacking" pins — regardless of what you hear on TV — from 180 out regardless of their lie or the wind or anything like that. They're just not. Especially with water close by. Do you recall where Scottie — to a right pin — hit his second on Sunday? Short right. Because a bogey doesn't kill him, but a double or triple might.
, and those playing the safest line off the tee. Do this on longer holes and on shorter holes. Do it for holes where the best perceived approach angle is near a hazard, and when it is away from a hazard. Do it for holes with water, and holes where you're just negotiating bunkers. Do it on 30 yard wide fairways, and do it on 100 yard fairways (there are a few of those out here, believe it or not). Have people hit a few different clubs off the tee if doing so is going to take tee ball trouble out of play (either long or short of it).
We have. You'll never guess what it shows!
Do it for one player only.
We've done that too (we've consulted with Tour players since 2013). For faders and drawers. You know what it shows? Faders score a little better when the hole is cut on the right, and drawers score a little better when the hole is cut to the left… but there's basically no difference whether they're hitting from the right side or the left side of the fairway, or the right rough or the left rough.
Because isn't that really the issue? How is that individual player going to fare? What use are stats for the atypical golfer? Not every player is going to have the same ideal spot, so how can you decide if a pinpoint is actually in the proper category?
Or just hire a good caddie.
We've consulted with caddies, too (you can't consult with a Tour player these days without the caddie being involved). They're helping their players score better by understanding this stuff. They're not just riffing on decades-old stuff.