I believe you are right about the planing forces that are developed for both concaves and vees, or any combination of. The total lift component which is directed up and through the deck of board is reduced, but you get an addition lateral contribution, and because of the increased surface area, you do get more drag – which is not something that’s usually associated with contours.
Constraints
If by some action a surfer changes the bottom presentation of his board to the flow, the flow will be impacted, as he performs the maneuver. One aspect of why vees go up on a rail easier than concaves is because they tend not to constrict the flow like concaves, they let it escape easier.
The trapping or additional constraint on the flow, means that the flow must be forced in other directions, or subjected to additional forces, to get out of the way. That is, additional forces must be applied to move the fluid in addition to the center-to-rail direction, but back, or maybe even forward in a direction, at least parallel to the nose-to-tail direction. You could also argue that some may be being pushed vertically, down with respect to the deck of the board, but in the end, you got to do more pushing –i.e. apply more force – all else being equal. The same true when comparing a vee to a flat bottom board, just less so than when compared to a concave.
But you’ve got to be cautious here, and this relates back to your point about the forces developed during planing, which is very much a function of wetted surface area. In the above paragraph I stated ‘all else being equal’, but things can potentially change if you go far enough up on a rail. If you want to take the thread in this direction (no pun) please let me know. Also, there is also another very important matter to consider, and that is what the surfer is doing. Going up on a rail generally requires that he shift his weight, and by doing so he changes the moments, or torques to which his board is subjected to -this relates to my next point.
Stable States
Once the vee is up on one of its lateral walls, it enters into what you might call a relative stable state. This really isn’t so for a concave or a flat bottom, which don’t have this additional stable state because of design. The existence of the addition stable state is likely to be perceived by the rider as ‘ease’.
The behavior of vee’s is part perception, that is what the rider is likely to attribute to some effect, or how he is likely to explain some effect - and, man does that open up a can of worms.
kc
PS
In the end, the approach I’ve taken makes my concern for terminology moot. Which is good, as I didn’t want to redraw the diagrams I had started - let alone finish them.