Lines with no arrows and a quadrant color associated to them means an established/current relationship, yes.

so to be clear, the established relationships are:

tommie ♦️ benrey

tommie ❤️ darnold

tommie ♣️ benrey ♣️ gordon (this one is a little weird because nobody really talked about it being “official” but it is for now.)

coomer ❤️♦️♣️♠️ bubbie (this one, to their planet’s society, would be considered a pretty disgraceful misuse of the quadrant system but they are old and in love and do not care.)