GAW,
No, I do understand your overall point, but I would hardly count R’ Chaim’s shitah as his own, and the Steiper’s was really the Chazon Ish’s. In E.Y., the shitah of the gedolim won’t change, (but the application might change because of circumstances).
Where there is some divergence in the Yeshivish’e shitah is between the Briskers and everyone else. Rav Schach, who was very close with the Rov, supported elections (obviously), while the Briskers kept away.