Non- Combat Veterans.
If you signed on the dotted line and raised your right hand, I don't care if you pushed a broom in the motor pool, you're still a Veteran!
I DO NOT discriminate, if I see a Vet I shake their hand and thank them for their service, and I will walk out of my way to do so.
I got 3 the other day at the grocery store. I had one old boy tell me he didn't see combat but rather served in Germany, I told him that doesn't matter, you still served.