So, this is a bit weird, but hear me out.
I am a person who tends to believe that a lot of Greek Mythology was a distortion of historical events, particularly during the Mycenaean Era. For example, the Trojan War described a real war fought between Mycenaean Greek powers and an Anatolian Confederacy from just before the Bronze Age Collapse. I also believe that the Return of the Heracleidae was an attempt to explain the Dorian invasion. (Indeed, I believe the promotion of Heracles as a deity was an attempt by Dorian peoples to justify their place in post-Mycenaean Greece.)
What I realized is that in Greek Mythology there is no mention of anything like the Sea Peoples. For example, there is no myth mentioning a large invasion from the West, which one would expect. We know the Eastern Mediterranean was invaded during the Bronze Age Collapse. We also know Greeks may have been involved, as the Philistines seem to have some Bronze Age admixture. At the very least, the Bronze Age Collapse should have been mentioned in the myths.
So what gives? Why didn't the people that caused a massive downfall of civilization not even get a mention? Did the Greeks not find them important enough for a mention?
I think this question, while not exactly yours, receives a relevant response (from u/KiwiHellenist ): https://www.reddit.com/r/AskHistorians/comments/mrmcf1/how_come_the_greek_religion_in_the_iliad_shares/?utm_medium=android_app&utm_source=share
I've seen other questions that address similar ideas, and they all get a similar response: The Greeks of the first millennium BC didn't know or understand that the Bronze Age was a thing, or that there existed a different, preceding society that had collapsed, or that they had even entered and then emerged from a "dark age." Some things pass down, but without any context (the responder in that link mentions precisely 3 instances of bronze age-specific stuff in Homer's works, like boar tusk helmets).
Amanda Podany in The Ancient Near East: A Very Short Introduction suggests that the Sea Peoples themselves, and their barely-remembered exploits in Anatolia, could have inspired stories like The Illiad (but being focused on Mesopotamia and, of course, very short, there isn't much elaboration so I don't know if that theory has any wide support or if she was just adding some flavor).