This gets into a WHOLE problem. Jew refers to the religion, and the ethnic group. They often take the benefits of both, and people will switch which definition they are using actively during a conversation.

I can say I hate Christianity because membership is a choice. I cannot say I hate black folks, or gay folks.

Antisemitism is a hating of Jews. That’s not ok.

As OP implies, it’s better to say you hate Zionism. It’s a more specific belief that someone chooses.

That is exactly why these groups CHANGING THE DEFINITION of antisemitism to include anti Zionism is alarming and overtly evil. They’ve learned the protections of having the word Jew refer to both, and are now trying to bind Zionism in there too!