Okay, so interesting thing I asked my friends the other night while at an event. Normally they all give the same answer to things, but this time, there was a big 50/50 split.
Question: Would you be willing to date someone, even if they don't want to tell you their name?
Just assume that they are open about everything else, but they just don't want to tell you their name. Might have a reason, might not. Might have a GOOD reason, might not. Also, just because they don't want to tell you their name, it doesn't mean that you can't find it out via other means.
Also, they may or may not be open about the REASON why they wish to hide their name.