non-political – I have heard Rabbi Gottlieb say that and I agree completely. The point here is that she made a claim that her rebbe loves every yid but won’t say that he loves Rav Shach and Rav Kotler. She is just trying to hop on to your vort and say that because love and hate *can* coexist, there is no stira. But she still won’t say that he loves them (just that it is possible), and she won’t say *she* loves them, and she won’t say that anyone who *doesn’t* love them is doing an aveira according to the alter rebbe. (And not allowing a gadol’s sforim in your house is very hateful)
So while the point you bring is true, it has not been applied here. And knowing Rabbi Gottlieb, he probably would never make such a definitive, black vs white, true vs false claim in the first place!