Freudship
It's a sex-driven friendship — since everything is sex-y—(or suggestive of sexual attraction between two so-called friends) that embraces the fact that any human act, even a friendly attraction, is consciously or unconsciously motivated by one's libido. Not to be confused with situationship which of itself arises out of inherent sexual motives . It can also be applied to a relationship that has no romantic illusions of selflessness and unconditionality.
They neither have a situationship nor a friendship.; they're involved in a freudship.