This argument perhaps makes more sense when an involuntary draft is in effect.
When I was a US Army Officer, and was back in college taking another degree, one of my professors told me this story:
He'd been drafted in 1968, a year before I myself had enlisted as a Private. He honestly told them he was homosexual, in answer to the pre-induction question we all had to answer back then. They ignored his answer, apparently thinking he was lying to avoid being sent to Vietnam.
So he got shipped off to Basic Training at Fort Knox, where I was later to serve about a year later. And he told me he totally camped it up to the max, stories that had me doubling over in laugher. Instead of despising him I admired his courage, and his truthfulness in being who he was. My own career as an Officer didn't prevent me from hating the treatment he had received.
He was finally Dishonorably Discharged, the only way gays were released from the US military in those days. It didn't prevent him from going on to get his PhD, becoming a well-known author, and having a career in education as a senior university administrator, that he does to this day.
If you read my stuff here you know that military service is the only thing of distinction or merit I've done with my life. But I've also always felt that not everyone is cut out for the military, and no one should not be compelled to serve when they are better suited to other things. It's an honor to serve, but no shame if you don't. (Except for those few clowns here who spout about the military without any real experience or knowledge)
I cheered his story of beating the system, even while I still wore a uniform myself, and continued to wear it proudly for many more years. The Army was for me, it wasn't for him. I was glad he got out of it, and became a success in a different field.
In the future, if the DADT repeal sticks (and I hope it does, though I've expressed my doubts here), I hope you all realize that should a US draft ever be reactivated that gays will not be exempt this time. This sword cuts both ways, and perhaps that lady on the radio show was more correct than she knew.