One factor I'm missing: lift...
Sorry you missed the lift factor, but of course it is in there:

Cs (Side Force) and CL (Lift) factors are compared in this table:
Showing that Lift is relatively small vs Side Force.
However, also noted,
Hence, although smaller than side force, there is a very large lift variation between 30 and 60 deg (10 times larger at 60 deg) which is what will be felt when hit by a sudden side gust.
As pointed by @Daboo, here again, forward speed (smaller angle) is your friend.