Point one: The anomalous status of Palestinian refugees and of UNRWA is a result of historical contingency, not some imagined antisemitic double standard. The original intention of UNRWA was to abate the immediate humanitarian situation, then help Palestinians integrate into their new host countries. Palestinian refugees generally refused integration, as did host countries and donors, which is why UNRWA eventually gave up on integrating them. It is correct to call this a political decision rather than a strictly humanitarian one, but the alternative - pressing for integration - would also be a political decision rather than a strictly humanitarian one, so cries of UNRWA's politicization are fairly silly.
What this means for the article: The anomalous situation of Palestinian refugees should be mentioned, but not at every turn, not in the second paragraph of the lede, and not in a fashion which boosts the Israeli government's view of UNRWA over other views.