Any veterans deal with imposter syndrome?

I served 3 years in the army (never deployed, only went to Korea). However, I don’t feel like I actually served. A couple weeks ago when fall semester began, the professor asked if any of us were veterans. I never raised my hand. I don’t feel like it counted bc I never deployed even though we just had a 20 year war. I get VA disability (anxiety/depression), which makes me feel even more like an imposter. Should I feel this way, and anyone else here feel this way?