Being that I work with the public, and a very young public lot, the government trickle-down set it up so that employees could get free flu shots this week. I passed. I don't often get the flu, which of course is no indicator of future hits or misses, but I'm ignorantly fearful enough to not want one.

Don't see how it should matter in your public/private insurance scenario. At first read, it seems like they could be trying to show proof that they take care of those in need of their services and do not discriminate against those who cannot afford private insurance. (Who can, really?) But by trying to make a point of not discriminating against publicly insured people, they are discriminating against privately insured people. Or maybe that's all hogwash and I need to "learn me some more" on the subject.