Sea peoples were the Phoenicians and Levant tribes that proceeded them like the pre-bronze Ghassulian were probably seafaring also. But yes they were originally from around the Levant.
I have just found it interesting my entire life that this mysterious “sea people” that no one knows where they came from exactly suddenly invaded the lavant displacing all the native peoples and then they just as suddenly disappear from history.
All all of this occurs almost exactly when it is estimated that the Jews fled Egypt and entered the promised land.. the entire bible then goes on to tell how the Jews then invaded the promised land and conquered and/or killed everyone they encountered.
Those two stories which happen at the same time sound to me at least like the same story from different perspectives.
And if you were a non jews how would you refer to these people who suddenly appeared from no where and started invading and raiding? well.. they say they came when their God split the Red Sea to let them enter. So .. maybe we call them Sea People..
Just my personal belief