There is a context. There is a fallen angel, later called Lucifer, who is correlated to that name, as you even presented. In other words, we know the name because of the correlation. There's nothing odd about that, it occurs elsewhere in the Bible. So, you go by the religious ideas, not your interpretations, which are very theoretical, to say the least.
In other words, it doesn't matter who the verse in Isaiah is referring to, because that is a name correlation, to what they used later, 'Lucifer'.
In fact they even wrote Lucifer, so you know it's the same name. They literally are saying, with the translation, this means this.
And since there is a Lucifer, a being, in the Bible, then you know it's meant literally, a fallen angel.
The Bible says a lot of crazy things, best not to take that story book literally any more than one would the Harry Potter novels, which are a better read, imo.
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