Is it still considered a domestic dispute if neither disputer resides in a domicile?

I ask because I happened upon what I believe to be a lover's quarrel between two homeless folks this afternoon in front of a McDonald's fine dining restaurant.

Below is a typed transcript of the assumed couple's exchange. For the sake of your children, actual or future, I have substituted the word "cuss" for terms that might pound young eardrums a bit too forcefully.

Assumed Homeless Man: "Cuss, your cussin' cuss stinks!"

Assumed Homeless Woman: "Cusser, you got a cussin' tiny prick, cuss!"

Assumed Homeless Man: "I will smack your mother cussin' face if you come near me again with your stinky cussin' cuss, whorebag!"

Assumed Homeless Woman: "Oh, go cuss yourself, Don!"

Had Don not jammed this into my mitten as I shuffled by, assuming that the two are a couple solely because of their heightened rage levels would have been unfair.