There are several meanings for several words. In pagan society people have come to making one religion cover what they believe. This may work for some when talking about religions that have been left in history and aren't practiced in their intended form. However, to claim that a religion that is in practice is part of your beliefs is different from saying that yo are part of that religion.
I have heard people claim to be par of a religion and not even know the name of the gods or godesses yet claim to be strict followers. To me this equates to saying you are christian, yet not know the name of christ, what the trinity is, or who the virgin Mary is.
Why is it so difficult to admit what one believes may follow a particular religion but they are not part of the religion.
