Imho it ‘s just chance that anti-Jewish racism is named with anti (antisemitism is already an old word) and others with phobia
Another point is the Holocaust, which gives the accusation of antisemitism an extra vengance, regardless of its name.
A third point is that maybe it is better to call these phobia’s and antisemitism all racism, e.g. anti-Jewish racism, anti-Muslim racism, anti-Palestinian racism, etc.. And there also should be one general definition for racism, instead of a separate one for antisemitism. I’m thinking of “racism is hostility towards an ethnic (or racialised) group in an inherently innocent capacity”. E.g. anti-Jewish racism is hostility towards Jews as Jews, or hostility towards Palestinians just because they live in (or have a right to live in) Israel or Palestine is racism
Finally (if you look at Western media) it always strikes me that as easy as accusations of antisemitism are made and taken serious, so reticent are media to point out Israels anti-Palestinian racism, which is often much worse. There is a huge double standard here!
BDS is accused of being antisemitic because its supposed aim is to destroy Israel. This is double distortion, because BDS is not aimed at “Jews as Jews” but at Zionism, and because it does not aim to end Israel, but to end Zionist racism. We can’t repeat that enough: “BDS wants to end Israeli racism!”