Hi Plague.
I think it only feels it.
Taking the above polar diagram as an example, and using the "20kt" wind speed setting, I've eyeballed (ang) and (vel) for the heading of the boat and the velocity it achieves, over water. These are listed below.
We know a moving boat causes an apparent wind from the addition of two vectors: boat speed and wind speed. This apparent windspeed (vapp) is listed from calculation, below, and it peaks in strength (as we'd imagine it might) at about 45 degrees from the wind.
However, you can also calculate the angle of this new apparent wind (beta), relative to the boat, and plot the difference in this angle from the angle that a stationary boat would feel (diff).
Job done.
ang vel vapp beta diff
0 0.0 20.0 0.0 0.0
10 0.0 20.0 10.0 0.0
20 0.0 20.0 20.0 0.0
30 6.1 25.5 23.1 6.9
40 6.9 25.7 30.1 9.9
50 7.3 25.3 37.2 12.8
60 7.7 24.8 44.4 15.6
70 7.8 23.8 52.1 17.9
80 7.8 22.7 60.2 19.8
90 7.5 21.4 69.4 20.6
100 7.2 20.0 79.3 20.7
110 7.2 18.8 88.9 21.1
120 7.1 17.6 99.5 20.5
130 7.1 16.4 110.6 19.4
140 7.1 15.3 122.6 17.4
150 7.1 14.3 135.6 14.4
160 7.1 13.5 149.7 10.3
170 7.1 13.1 164.6 5.4
180 7.0 13.0 180.0 0.0
Note the diff peaks in that area of a beam reach to a broad reach between a (true) angle of about 90 and 120 degrees. In my dinghy sailing experience, this is the point at which you can most easily plane a boat - not quite exceeding wind speed for a small dinghy, but getting pretty close, and certainly exceeding the hull speed. And it's here you really notice you have to harden the sheets towards a close reach: all the effects of that greater diff.
So what's fastest? Big vapp or big diff?
For a sail-powered craft you might think that the more wind the merrier, more energy = more speed, and therefore sailing into the wind is best. But sailing into the wind, especially in a small boat, is hard work. You're fighting waves, have to be totally in control of heading angle - any luff losses power instantly - and in cases of upwind sailing the hydrodynamic qualities of the centreboard are more critical.
I'm going to bet - and especially at model sizes and for displacement hulls - a beam reach to broad reach will always get you maximum speeds, and you'll be sailing with the sheets heading for close reach or close hauled.
Andy