I agree that the material will be the same,the text will be the same, but the meaning will not be the same. William Shakespeare has contributed so much to literature and the English language and is one of the greatest- if not THE greatest- playwrights in history. His works are distinct to who he is, and I believe that if his name was replaced with a random name, it would still be recognizable that it was his work, but it would not have the same meaning. Does a rose smell the same with another name?
We have our predetermined opinions on certain things based on what we call them, on what we are told about them, and we have been "conditioned" (in a way) to believe that Shakespeare is the best playwright and poet. So if we called Shakespeare "John Smith," the material would undoubtedly be the same, but would the meaning?