Palestine() is a geographic region, just like Italy. Today, we think of Italy as a country, but that's a recent phenomena. For many, many centuries, Italy was known only as a geographic region, because the nation state of Italy did not yet exist. But the place was still Italy and the people who lived there were still Italians.

No, wouldn't it be the Roman empire, and didn't it extend through much of t he known world? Your assumption is as logical as calling Israelis Romans because iSrael() was once part of the Roman empire.

We are not defined by nation states, but who and where we are.

Nowadays, many people define themselves by their nation state. Its not wrong or right, it just is.

By definition, anyone who lives in Palestine is a Palestinian,

There is no Palestine- there has never been a Palestine. If you define Palestine through the area defined as such by the british mandate, or the Ottomans, it extends through Jordan and Syria.

What makes Zionism an apartheid regime is that it uses the armed might of the Israeli state to deny the non Jews of Palestine the rights and privileges it reserves for Jews,

But much of what you consider Palestine deprives Jews of the rights and priviledges of non-Jews. There are no Jewish Jordanians- they aren't allowed, by law. The rest of the Middle east deprives the Jewish Palestinians of their civil and human rights. Israel is the only area where they are protected.