An often overlooked element of this discussion is its inversion from the norm of machlokes. Typically, when there’s a machlokes, it begins as a sharp division, and evolves into a mutual respect and understanding. That’s what happened with the rambam, ramchal, and chasidim.
Here, the division only started later and has grown, where the Yeshiva world increasingly accepted anti zionist views and ignored both rabbi kook and rabbi yoshe ber.
So much so, that the Yeshiva world has engaged in a bit of revisionist history by omission, by removing rabbi kook (moreso than rabbi yoshe ber, but this happens with him sometimes too) from historical accounts and his relationship with some rabbonim. I can’t say if I agree with this fully or not, but i definitely understand it.