Loving relationships do not have to be sexual, as you say. Neither do loving relationships have to involve sharing meals together, talking together, listening to music together, hiking together, taking care of each other when the other is sick or sad, thinking of each other, smiling at each other, making tea for each other, looking out for each other, cooking together, accompanying each other to doctors' appointments, huggling and cuddling together, seeing movies together, discussing the state of the world together, going to church or synagogue together, picking or buying flowers for each other, looking at the sky, sunset, and clouds with each other, going to museums and the zoo together, laughing together, letting the other know you care and are always there, and so on.

And, if we could eliminate all these things, maybe the Church would contentedly nod its approval that love is now properly abstracted.