Even if we want to make the case that the original text does not support it, we have plenty of ancient text to support that this was a very common interpretation of the myth even within ancient greco-roman culture. Plato's Symposium, for example, takes for granted that they were lovers.
While yes, this idea is rooted in Ancient Greek culture, as your example of the Symposium demonstrates, your claim that:
the consensus has not changed that although their relationship was not made explicitly physical in the text, it was pretty clear the two were meant to be in love with each other. And even if we want to even be hesitant about granting that much: at the very least, Homer very deliberately made it open to interpretation, and it was very common for Greeks to view it that way.
gives too much. It is impossible to say whether it was very common for Greeks to view it that way; Xenophon, a contemporary of Plato, explicitly rejects the notion that they were erotic lovers. We may only say, at most, that Greeks were divided on the issue (as long as both Plato and Xenophon are taken to be representative of Greeks in general). This is, of course, an opinion held centuries after the writing of the original texts, and therefore we struggle to extend this to the actual contemporary opinion at the time of Homer. Though, we can be certain based on other ancient greek sources that there was no shyness about pedarasty, and homosexual relationships, and so it seems unlikely that were such a relationship to be present in the text that the author would not have indicated it for whatever reason.
Though, my main point still stands; not only is it an attempt at reviving an ancient debate which was not even settled during the sources which you cite to claim that it was a common idea, but it is also a topic which has been clearly taken up as a cause not unlike the Black Athena movement of the 90s -- both of which sacrifice historical method and standards for the sake of populist appeals to cultural moments.