Their support is more anti-Jew than pro-Palestinian.
Arab states’ view of Palestinian refugees has varied over time. Arab governments have often supported the refugees in the name of Arab unity, or because they viewed the Palestinians as an important source of skilled human capital to support their economic development. However, Arab governments have also frequently “despised” the Palestinian refugees – either viewing them as a threat to demographic balance (as in Lebanon), or because of the “political message of freedom and emancipation that their ‘Palestinian-ness’ carried”, or else because in some countries’ history Palestinians have been “somewhat associated with strife and unrest”.
Palestinian refugees have taken citizenship in other Arab states, most notably in Jordan. However, the conferring of citizenship is a sensitive topic, as “it is often perceived as allowing Israel to evade its responsibility towards the refugees”.
After all if the other Arab states start taking in refugees from Palestine then Israel just needs to push harder for a mass exodus since the Arab states will take them.
Suddenly there are no Palestinians left in Palestine and Israeli Zionists gets what they have has wanted since the first Zionists showed up in Palestine.
Because Palestine is a convenient pawn for them.