Yep.
A recruiter has better things to do than chase dead leads.
You'd think so, but I had the Marines calling me right before I turned 18 (this was in the year or so before Desert Storm). I got letters and phone calls. I even had a recruiter tell me "off the record" that he could guarantee me a spot in the band (without having heard me torture my saxophone) and that I'd never see combat.
I never understood why they had an interest in me, figuring that one of my buddies had put me on their list as a joke. But that kind of prank was never really our style.