It is stretching it, because the word Lucifer is only mentioned once in the entire Bible and even then it's only in the KJV, in Isaiah 14, in a chapter totally unrelated to Satan, but everything to do with the King of Babylon.
Ezekiel 28 also has nothing to do with Lucifer. Look through the whole chapter and you'll find that the words Lucifer and Satan are not mentioned once - the whole chapter is about the Prince of the city of Tyre. The reason Eden is mentioned is because the Prince of Tyre is being compared to Adam.