Disputes in physics are nothing new. Leibniz and Newton conducted a snail mail flame war for several decades re Newton's theory of gravity. We can be thankful to both those gentlemen for the parts they played in providing us a more immediate medium in which to conduct discussions.
Platform angle vs inclination...
Resulting in a force vector...
Which is what Ligerty is using in this
And McGlashan is using here:
To avoid any confusion over which angle constitutes the platform angle let's just say that CoM remains above a line perpendicular to the ski base.
For larger circles the tip will not follow the tail even approximately around a circle.
Gees, I hope not! Ok if you're skiing switch.
Yep, I know what you really meant and I fully agree that the tail does not exactly follow the tip.
As researched here. The tip is on the inside of the turn building the platform. As the snow gets harder the front part of the ski has less work to do to compress the snow to establish a platform to support the skier. So the tail more closer follows the path of the tip.
During transition, the body is moving across the skis, so the momentum is moving away from the skis as the skis are being tipped. How can you tip it, bend it, and have the ski turn to catch you when you are moving away from the skis while you tip them?
The instructors used to tell me "Keep your body over your skis". I used to think that they literally meant vertically-over-the-skis and I wondered how I was supposed to do that and incline in the turn. But of course I have realised they mean keep your CoM above the line of inclination.
RR tracks is a case where the body is actually vertically above the skis at the start.
The up and over it drill is also relevant.