Camber surfboards have attached streamers with a little camera mounted on the underneath. I also attached a streamer a couple of inches or so in from the rail on the hull and watched it point diagonally outward when the board was in trim which verifies the diagonal flow exiting the rail idea.I love the hydrodynamica discussion, but I'm also skeptical, until one day somebody attaches streamers onto the bottom of a board and fins and follows it around underwater with something like this (12mph top speed, maybe too slow).
I remember I took the (unpopular) side of the Luddite (aka Roy Stewart) when he was calling BS on Daniel Thompson. I don't doubt the surfing and shaping skills of DT but his use of hydrodynamic theories to explain his work just didn't convince me.
In your drawings, I was curious about the idea of fin lift due to cant. I was thinking the water is flowing parallel to the bottom, at maybe a 30 degree angle on turns, not up the fin (maybe I misunderstood your drawing).
Out of curiosity I did the hose test and did verify that the water I shot (trying to stay parallel with deck and at a 30 degree angle) did deflect down (up in photos) a wee bit, barely perceptible. There was no perceptible difference between the 4 degree cant of main and 9 degree cant of canards. I might try a video because to stop motion of photos doesn't show the water motion I was seeing.
The lift your drawing describes would lift the tail up, right? My anecdotal evidence of that is on my bonzers. I found if I tried to do a mid face turn on a steep wave the tail would pop/spin out. I attributed that to the 19 degree runner cant. I know the bonzer folks will not agree with my assessment and blame it on rider error, which may be true, but it happened enough to convince me it was a design issue.
Also, I could not replicate the canard effect with the hose. I think that would need solid water, not hose spray, but seeing how the canard deflects water, I'm pretty sure it does what it is meant to do (prevent cavitation/stall of mains). Of course your drawing of wing tip vortex begs the question- why is the canard so short? The stall would seem to be more pronounced at the tip, would it not? I did make deeper canards but have not tested them.
Canard
Main
cants
deep canard
On second thought, looking at the photos, maybe the upward deflection is just from impact in the absence of water flowing across the tip ( I was aiming the water close to the base).
I don't know how much cant adds to lift - I would hope not much. I was just trying to come up with some explanation for the lift Teeroi described with his quad - most comes from Greg's water travelling up the wave face explanation I think. Nevertheless your bonzer experience suggest cant is a source of some lift.
I don't know how the little canards work, but their job could not be to reduce induced drag which occurs at the fin tip only.