Reddit mentions of Going Public: Why Baptism Is Required for Church Membership

No. It implies that you have not gone public in your salvation. I'm not close communion myself, but I do understand the logic. If the church has a responsibility to see to it that the elements are distributed only to worthy recipients, it makes sense that the definitive external sign of conversion is a prerequisite for partaking. Personally, I don't believe that "if" is true. I think Paul leaves the process of determining worthiness up to the partaker not the body as a whole.

If you would like a more developed case for close (baptism required) communion, see Bobby Jamieson's book Going Public or this highly condensed article version of the book.