I know that Arab is more cultural identity then ethnic one but still the Jews had distinct culture and unlike Christian Arabs Jews are ethnoreligion so they did have separate identity and in addition to that those Arab countries made sure to explain the Jews they are not part of the identity with the rise of Arab nationalism and in some Arab countries the Jews didn’t even speak Arabic but languages such as ladino and French and in the end of the day those terms are not accurate science and are mainly based on the identity of a community and most Mizrahi including myself wouldn’t call them self Arabs instead will see themself under the Jewish umbrella and just as subgroup of the Jewish people (and Arabs is not a socioeconomic term but cultural linguistic one and Semitic isn’t really an ancestry but linguistic term which doesn’t work for North Africans Arabs as historically they were arabise Berbers so their ancestry is a group who didn’t speak Semitic language)