This is not my grandmother's Zionism or my father's or my late mother's. Israel's religious fanatics have redefined the ideology, which is no different from Christian nationalism.
If we are trying to have a discussion about bigotry, in this case antisemitism, and you say simply, “We are not having that conversation,” (which is exactly what “anti-Zionism is not antisemitism” says), it may not mean that you are hopelessly antisemitic. But you certainly don’t get to call yourself a progressive.
The same can be said for people who call themselves progressive except when it comes to Israel, for which they have a giant iron dome-sized blind spot. Anyone who criticizes Israel's policies and it's current shooting-ducks-in-a-barrel style war is accused of being antisemitic, whether they mention Zionism or not.