“Philistine ceramics bear similarities to styles found in the Aegean, but concrete evidence of their geographic origins has remained elusive.”
That’s not entirely true. The Egyptians painted murals of the various Sea Peoples (or the Nine Bows as the Egyptians called them), including their distinctive clothing, armor, and weapons. If you compare those with what the archaeological record tells us of the clothing, armor, and weapons of known peoples, then that provides pretty concrete evidence. For example, one tribe of Sea Peoples is depicted wearing horned helmets. Well, horned helmets were only used by one people in the ancient world at that time, the Minoan Greeks.
The Sea Peoples were not all Greek though, they also included people from other places around the Mediterranean, such as Sardinia and Sicily, but those places were in the Greek sphere of influence with Greek colonies nearby. They also allied with the Libyans and other traditional enemies of the Egyptians or Hittites at times.
It seems to me this situation, with waves of Greek warriors/mercenaries suddenly appearing on the far side of the sea, is probably linked to the end of the Trojan war. It’s not hard to imagine that the Odyssey with its fables of Greeks sailing around and adventuring for 15 years after the war might be a myth based on the actual exploits of bands of displaced Greeks at the end of the war seeking adventure in Egypt, Canaan, and Lebanon.
“It seems to me this situation, with waves of Greek warriors/mercenaries suddenly appearing on the far side of the sea, is probably linked to the end of the Trojan war.”
A pretty good theory. Pre-modern armies were difficult to completely disband. One war ends and the surviving troops from all sides are looking to get paid. Sure some will go home, but the best will follow their captains and go the mercenary route.