I have no issue if my husband doesn't want to wear his ring. I know quite a few couples that, for job or other reasons, don't wear their rings all the time. It doesn't change the fact that they love each other and are committed.
That said, I took his name because I wasn't going to keep mine anyhow (step-father's name and we didn't get along well at all). It was either that, or change back to my birth name and it was just as easy to take his.
I have a friend that, when he got married, she took his last name and he took hers. Now THAT was original! :-)