BA-BLOOOOOM!!!!
I find your aiming left/swinging left ideology very unconvincing.
I suggest you consult Fredrik Tuxen who wrote
this article for TrackMan's January Newsletter, or Dr. Paul Wood, of PING, their Research Project Engineer, and the guy everyone in the company defers to on matters such as this.
You see, Jeff, I am not a doctor by trade, or a portfolio manager. I didn't take 20 years off to run someone's business and design courses. I never worked for a "Harmon," and I have toiled in the trenches of Golf Instruction, clawing my way as close to the top as I could and can everyday for the last 27 years.
I spend my money and I go to every worthwhile seminar I can attend. I have perfect attendance at the biggest ones, and I have spoken around the country on my profession.
In the next two months, including this coming Monday, I will speak at a PGA Seminar on this very subject.
I spent my hard earned money to visit Dr. Wood, and have spent a bunch of time testing things on TrackMan and 6° 3D.
This stuff is right, sir, and I am going to show you the light.
The Golfing Machine is a wonderful book, but these answers, and many others, are just not there. So pay close attention.
You wrote-: "Lets say you hit down 4° at 60° with a 8-iron.....you are also hitting "out" ~2.67°." What do you mean by hitting down at 4 degrees?
The clubhead is moving down 4° at impact.
Are you implying that the clubface is moving down 4 degrees while it remains in contact with the ball?
Yes.
I will tell you this:
Get the notion that the clubhead and clubface does a whole lot during impact.
It doesn't.
I wasted a lot of time believing in a incorrect assumption.
Are you thereby implying that the clubface must also therefore be moving out 2.67 degrees while it remains in contact with the ball?
I am not "implying," I am calculating, using the information I learned from TrackMan and confirmed with Dr. Wood.
In your description, you state that "With a club swung at 60°—the club is moving ~0.66° out for every one degree down". I can accept that fact.
You better, because that's the math.
However, you seem to be implying that the clubface is moving down-and-out to exactly the same degree as the clubhead, which I believe is untrue for a swinger.
There you go again from the "book."
According to Tuxen, Wood, Dr. Aaron Zick who speaks at The Golfing Machine Summits, and ME, proud owner of a 1000fps camera, and access to students like David Toms to take ultra-high speed pictures of (like I did last week, on a dead straight shot), the clubhead doesn't close more then a tenth or two degrees while on the face. Way less than the book suggests.
And, according to folks that own a 6° 3D machine, no one is even coming close to Horizontal Hinge action.
So, to "simplify" for those who like it that way—the clubhead does next to NO CLOSING during impact, and the very little it does, doesn't provide for different ball flight with the same IMPACT ALIGNMENTS if you actually could switch between a face that stayed vertical to the ground (Horizontal Hinging) or vertical to the plane (Angled Hinging).
That was about a simple as I could make it.
That "clubface square to the clubhead arc" situation may apply to a hitter who drive loads the club and employs angled hinging. Under those conditions, there is no release swivel action and the clubface may remain neutral to the clubhead arc throughout the impact zone. However, most golfers are swingers and a swinger usually employs a release swivel action (during the late downswing) and a horizontal hinging action (in the followthrough). That means that the clubface is continuously rotating while the club is moving down-and-out through the impact zone. You have not taken that "fact" into consideration in your calculations.
As you should now realize by reading my previous answer, that is no more a fact than Santee Claus.
A swinger usually has...through the impact zone.
None of what happens—allow me to repeat:
NONE of what happens prior to impact matters to the ball one iota.
I believe that it is easy for a skilled golfer to hit the ball straight without aiming left/swinging left.
No they can't.
TrackMan will make a monkey out of them—and you.
YOU HAVE TO SWING LEFT, unless you can tee it up and strile it level.
Period.
My brother, Howard, has a handicap of 1.3...His ball flight is straight...How does he hit the ball straight if he doesn't aim left/swing left?
I watched PINGMAN hit straight balls. Your brother is NO MATCH for him.
PING has quite a few pretty fair players on the PGA TOUR on their staff.
Dr. Wood, confirmed there is no difference on real golfers and PINGMAN on the facts I have presented that you are just having a tough time accepting.
At impact, the clubface should be facing the target (red line) in order for the ball to go straight. The red line represents the ball-target line, also the desired ball flight line for a straight ball flight, and also the base of the sweetspot plane.
The graph you drew would hit a pull hook.
100% of the time.
The clubshaft must also have the correct amount of forward shaft lean so that the sole of the club is flat from a back-to-front perspective - the leading edge and back edge of the club must be flush to the ground (presuming a zero bounce angle).
Absolutely NOT.
And that has NO EFFECT on ball flight from a straight or draw or fade perspective.
ONLY LOFT and spin changes.
Under those optimized conditions, the sweetspot of the clubface will be facing the target and the ball will go straight.
Big arse hook.
I feel so sorry for you.
Really.
So much time wasted....
Been there.
I believe that a skilled golfer must learn to...trace a straight plane line.
The ball couldn't care less about any plane line.
Really.
But IF you can trace a straight one, and you make ball-divot contact.
YOU HAVE TO SWING LEFT!!!!
A skilled golfer also needs to learn how to control the clubface so that it becomes square to the ball-target line at impact
With this and a plane line align at the target, and a ball on the ground you get:
Big hook.
Penalty shots.
Missed greens.
Next subject....
Jeff,
You are a guy with a lot of time on your hands who loves golf.
You did a lot of reading, and you thought you knew some really good stuff.
But then, you ran into some folks who knew a lot more than you, and most of them were "Golfing Machine" guys.
So, you spent a lot of time learning the book, which is a good thing.
Except for a couple of important item.
This being one of them.
Relax, I just gave you all the CORRECT answers.
Whew!