There are anti-Zionists and there are anti-Zionists.
Your usual anti-Zionists (like most moderate Muslims for instance) are not OK with the state of Israel. They would (given the power to do so), at best, make the Jews of Israel go back to Europe or wherever, other than perhaps a minority which would be tolerated but excluded from power.
Other more typical western anti-Zionists would insist on Israel dropping its character as a Jewish state. How that would work I don’t know.
And etc.
Since “Zionist” means to be for the existence of a state for Jews in Israel, then “anti-Zionist” can only mean the opposite and nothing else.
One cannot destroy the national character of a nation without destroying the nation. Hypocritical for any nation to insist that Israel do that to itself.