frumtd:
The Satmar Rav was one of many gedolim who called belief in Zionism what it very obviously is: heresy and idolatry. Unlike those other gedolim, he also wrote multiple sefarim explaining the whole topic (rather brilliantly and comprehensively, at that – not that my opinion is worth anything).
Your academic question of how, in light of that, one could visit E”Y, is not really a question (because visiting and even living in E”Y is not at all innately Zionistic). But even if it were a question, that would not therefore lead to your “obvious conclusion”.
The much more “obvious conclusion” is that one who has likely never even opened a VaYoel Moshe and whose knowledge of Zionism is limited to popular propaganda, Zionist and otherwise, should probably not be be drawing any “obvious conclusion”.