He is confused I think. The concept of love exists as a concept in reality. This is absolutely proven by your point that we can talk about it with others. But, that is in no way claiming that love is completely subjective, in that love exists (actual love, not just the concept or linguistic term) only to the individual.
In short, he is merely putting words in your mouth in an attempt to erroneously claim that you reject subjectivity in general. After reading many of your posts over the months, I can safely say that is not the case.
I can safely say, you both reject subjectivity in general. I explained how subjectivity works, that it means to choose about what it is that chooses, resulting in an opinion, you reject it, hence you reject subjectivity. This conceptual scheme obviously requires that the existence of love be regarded as a matter of opinion, that love is motivation of a decision, and that therefore one can only reach the conclusion it is there or not by choosing the conclusion.
So when you both agree that the existence of love is not a matter of opinion, that pretty much settles it, you reject subjectivity in general.
And then you come up with all sorts of vacuous nonsense.....