No, Russ, veterans are not a "protected class" under the Fair Housing Act.
The good thing about VA financing is that it takes some of the financial burden off of the purchaser. The big mistake, in my view, it that it has placed some of that burden on the seller. In my view, the Government - We the People - should absorb that cost as a small part of the collective "Thank You" for your service.
But, we don't, and it is, and so, yeah, you might find it more difficult to put a deal together with VA financing than if you had FHA financing.