Genuine myth is early medieval literature like shakespeare is late medieval literature but its not the literary part thats worth looking at if youre interested in anything beyond entertainment. They have value because they can reflect a secular or non christian belief present at the time. A midsummer nights dream for example might give us information on how the summer solstice and fairies were viewed in popular/folk culture at the time but like the dramatic witch scene all that worshipping diana as a vestal virgin stuff is just something the author put together for entertainment. Its not intended to be anything other then dramatic and romantic.
Its a common mistake people make I wouldnt worry about it too much, there are plenty of celtic neopagans who take the stories in mythology literally and make utter clowns of themselves. I know loads of them. Atleast youre not jumping around trying to perfect 'the hero's salmon leap' or worshipping a charactor invented purely for the story as a god. Live and learn.
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