[12 piece bucket]

I may be misunderstanding your intent, but as long as the screen door is installed on hinges, the "clubface" or door motion is still the exact same.
Same action of the clubface, but at a different rate of speed (therefore, no "timing" of clubface closing - no matter your rate of speed). Push a door as hard as you want, it will still line up exactly with the frame (at some point along its journey).

As far as how much clubface rotation, the amount will be perfect every time if you take care of proper alignment and physics, (that is FLW held vertical to the related basic plane (a condition) and orbiting arms and/or torso) and also if you just know that hinging is not idependent wrist rotation. So this might say, if worried about executing a swivel instead of hinging, feel what the arms and torso are torso are doing - only orbiting, no effort towards any independent wrist rotation.

Check out the Swingvisions. Pay attention to the end of each one where the isolate the club. The toe of those clubs is certainly closing . . . but the rate of closing is VERY SMALL.

Per 2-G, Stop at the end of a short Chip Shot – the Club at about 45 degrees. With Horizontal Hinging, the toe of the Club will point along the Plane Line

My misunderstanding I think was that the toe ALWAYS pointed along the plane line thus causing an over-roll and fast rate of closing. So the key is it points along the plane line when you stop the clubshaft at 45 DEGREES

By strict definition Hinging is only from the point of impact to separation . . . so I would say that it is pretty difficult to distinguish what hinge motion a player is using. Again at some small distance the club is moving pretty much in a straight line . . . and for that small distance there is I would surmise very little difference in the amount of CLOSING for Horizontal Hinging and Angled Hinging. I would say that you have a better chance of distinguishing the Hinge Action by looking at LAYBACK rather than closing.

There are some pictures of Vijay where he looks to be executing Swivel through Impact rather than Hinge Motion.

So maybe this experiment is flawed but if you take the toe of your club and place it against a wall and scrape for 12 inches back and through . . . . the toe doesn't move all that much in differentiating the Hinge Motions for that 12 inch span . . . which IS where the rubber meets the road. Or if you don't like the wall experiment . . . do it on a low bench as Homer advised. The rotation about the sweetspot ain't all that much . . . I don't think.