Wrong!
In a world in which someone is constantly telling me that I am some kind of "..ist", this really IS sexist.
Here on the left coast I'd go all wobbly at the sight of a veterans only parking space. Even if badly worded, somebody tried to say thanks.
A bunch of veterans [especially Vietnam] don't advertise; that some oaf would simply assume that a female could not merit the status is a slam on a whole lot of nurses, clerks, and tehnicians I remember coming under fire in '68 and like it or not, women are put at even greater risk in today's military.
That's how I'd take it too. Businesses reserve parking places for "Employee of the Month", and all sorts of other reasons; If I were in a position to offer such, my sign would read: "Thank you, vets, this spot is reserved for YOU."
That said, my Mom has a handicap card (hangs off the front mirror post), and she tells me to use it even when I drop her off at the front door of some business, etc., and then go to park. I park elsewhere, unless we'll be both walking back to the car. The exercise is good for me. :-)