Anti-Zionism was the mainstream Orthodox Jewish position prior to the Holocaust; and contemporary mainstream Haredi anti-Zionism essentially continues that historical position largely unchanged. According to that viewpoint, it is a sin to establish a Jewish-ruled state in Eretz Yisrael prior to the coming of the Messiah. So, classical Jewish anti-Zionism supports the existence of a Jewish state (in the future messianic age) but doesn’t approve of the particular way Israel was established (by mostly secular Zionists in 1948 instead of by a divinely appointed Messiah at some point in the future). Still, it clearly is an anti-Zionist position not a Zionist one.
The majority of contemporary Haredim are neither anti-Zionist (the mainstream being Satmar, Edah HaCharedeis, Central Rabbinical Congress, and then there are extremists such as Neturei Karta) nor explicitly Zionist (as in the Hardal), rather non-Zionist. Haredi non-Zionists agree with the anti-Zionists that the 1948 creation of the State of Israel was a sin, but now it exists, they say (contrary to the anti-Zionists) that it is okay to cooperate with it by voting in its elections, running candidates in the Knesset, accepting its handouts, etc. Sometimes the boundary between non-Zionism and soft Zionism is rather murky - my impression is that is particularly true of contemporary Chabad, whose non-Zionism has grown closer to Zionism over time
I think there is an important (but often ignored) distinction here between theory and practice - whatever one thinks of the rights or wrongs of Zionism as an ideology in the abstract, doesn’t necessarily decide one’s practical attitude towards the State of Israel - e.g. a person (whether Jewish or non-Jewish, whether in Israel/Palestine or on the opposite side of the planet) can theoretically oppose Zionism as an erroneous ideology, yet simultaneously decide to support the State of Israel on pragmatic grounds-and there is no necessary logical inconsistency in that
Say one supported the establishment of Israel in Palestine in 1948, but took issue with the expulsion of Palestinians from some areas. How would you characterize their view? In my mind it's still a Zionist view, not anti-Zionist (or both?) as the definition above would suggest.
What I’m saying is that position could be either Zionist, anti-Zionist, or non-Zionist, depending on the particular reasons why one thinks it was “flawed or unjust in some way”