If anything, Jewish people have the greater claim to persecution given the literal Holocaust had just happened.
How would the Jewish people have a greater claim according to the Houthis who likely know very little about events in Europe or even care?
Again, I am reiterating how people there would have issue with Judaism as a religion and would curse the Jews and again, it's because of how Judaism is different from Islam and Christianity. Islam allows new adherents, in fact, most Houthis would probably at least admit their people weren't always Islamic. For them, it would appear at least at face value that Judaism is a religion that promotes genocides because when they take land, it necessitates the removal of the natives.
That is not the comparison I am making. The point I am trying to make is that a religion that does not welcome you as a believer is going to be more concerning to a person than a religion that does. A Houthi cannot become a Jew (for the most part). A Palestinian Muslim, even if their ancestors were Jewish 1000 years ago cannot become a Jew again (at least according to the way Israel has been conducting itself). And for those reason, it makes sense that Judaism itself is viewed with concern by the Houthis.
edit: To further explain this point at least how I imagine most people in the region would at least think about. When Islam came to that land, they converted the local community to Islam. But when these new people come in, they want to kill everyone? Why don't they just convert the locals again? For most people, the explanation would be Judaism as a religion.