According to Arab logic:
ancient Greeks, the ancient Romans, the Byzantines, the Ottomans, and even the British can all call themselves “Palestinian”…well, since, you know, they all used that name for the place they occupied.
Oh and by the way…the Arabs also invaded and colonized “Palestine”. It’s called the Muslim Conquest of the Levant in 638.
But who cares about all that pesky history.