I don't know what it means. You use different terms. Is it "listening and wanting to understand where the other was coming from"? Is it "[d]ying to self"? Is it "an inquiry and dialogue into the nature and behaviour of ego"? Are any, or all, or some of those, "breaking the will of the ego"? You're the one using the term, can't you say what you mean by it?
Dying to self is a kind of breaking the will of the ego. It means letting go of the need to know. It is fundamentally a giving up of being in control. This we can do daily in interaction and in Aikido. There can also be a deeply experienced surrender that can, through insight into the very nature of self, dislodge the habitual identification with a limited idea of self and shift to a more encompassing perspective of oneself.
Still, what do you think it points toward?