Hard fairings aren't usually much of a theft deterrent, since to be of practical use they must be made very lightweight,,,, and also very thin. The most durable one to bumps is the newer Rotovelo ones (rotomolded polyethylene), and that can't be done cheaply as a one-off.
Also the crosswind issue is unavoidable, especially if you are riding alongside passing car traffic.
I don't have any source of ALL the bikes run at Battle Mountain, but I'd guess it's been at least 15 years (?) since I've seen any photos of an upright + full-faired entry. Back during the 1980's there was still a couple every year.