Menachem, litvishe gedolim did not charge neo Lubavitch with being frei. Their problem was with the ideologies of god in a body, praying to a rebbe, deviations in halacha, and other things. The Lubavitcher rebbe definitely stressed tznius, kedushah, being separate from goyim, etc…it wasn’t a freikeit issue.
But while we’re on the subject, due to the amount of baalei teshuva and gerim of various degrees of observance, chabad has been affected by the outside world more than other groups, resulting in communal issues in kedushah inyanim and other things understood by the term freikeit.
As for being antizionist, the rashab was just as antizionist as satmar, but the last Lubavitcher rebbe changed the stance from antizionism to non Zionism. However, some of his positions can be seen as being sympathetic to the state, such as refusing to give back land no matter what. He also was much more open to dealing with the government than others, which is not necessarily zionistic, but when you put it together with the “love all jews and all jews are great no matter how sinful and heretical…”, It does sound like mizrachi’s attitude to an extent.