GAW,
Interesting point, but notice that he was told to be chozer, the Divrei Yoel and Beirach Moshe left no such instructions. And as Health correctly points out (and this is a better argument), this is not a da’as yochid.
Read some of the Steipler’s letters defending the Neturei Karta (of his day, no connection to some wacko reshaim who currently use that name). Even gedolim who hold of voting appreciate the valid kanous of the anti-voting shitah.