But there's another effect. Everyone knows that a deep-dish rim is often less stable than a shallow rim, or even that bladed spokes may be less stable than round ones. This is due to the direct force of the wind on the front wheel, although there are also contributions from the effects already discussed.
The key here is that the wind exerts force around the full perimeter of the wheel, which for simplification purposes might be considered axially symmetric. One can integrate force about the rim, but the simpler approach is to assume all the force is applied to the hub, which is the wheel's symmetry axis. So there will be an effective force on the hub proportional to the net force on the rim + spokes + hub + tire: the whole wheel.
Here's a diagram again of the hypothetical zero-trail Guru Photon:
Indicated in the plot is a moment arm between the steering axis and the hub. Even with zero trail, there will be a torque applied to the wheel proportional to this distance, which is equal to the rake of the fork.
For a given head tube angle, rake decreases trail. So if you decrease trail by increasing rake, you increase the steering moment applied by the wind when it hits the wheel, even though you might be decreasing some of the effects previously described.
Back in the glory days of epic racing, long-rake forks were in style, presumably because the long curve smoothed out road vibrations:
Blog posts are always improved by a photo of Fausto Coppi
I don't think Fausto would want to clamp Zipp 1080's on that puppy.
Anyway, cross-winds aren't a simple matter, clearly. And I don't even address the lateral aerodynamic lift that deep carbon winds generate in cross-winds.