I would take “disinterested friendship” in this or any other context to mean a friendship without an agenda, not formed for “what’s in it for me”. That could apply to business friendships for instance. Some people socialize exclusively with people who they perceive can help them on the way up the ladder and drop old friends when they are no longer useful. That would incude socializing and relationships with people of either gender without the object of “pre-dating” (just heard that term) or scouting out people to date with object of pursuing the possibility of a romantic involvement (or simply hooking up).
Such a friendship would presumably be based on mutual interests, sharing ideas, activities and pursuits, affection without expectation of return or romantic commitment. Since the meaning of “affection,” “relationship” and “intimacy” have almost lost meaning in our culture except as they relate to sexual activity, we are probably looking at the need to go back to the classical philosophers and saints for the traditional definition of friendship.
