This is a strangely misleading statement. Of course loving, committed same-sex "relationships" are OK. It describes almost all of the relationships in the Bible: fathers and sons, brothers, cousins, Ruth & Naomi, Mary & Martha of Bethany. These were friend and kinship relationships, and did not imply anything about sexual appetite or gratification.
What the Bible condemns is seeking sexual contact outside of man-woman marriage. It's not the "relationship" (if that means friendship or kinship loyalty) that's a sin --- far from it, friendship is good. It's the misuse of the sexual function.
You can certainly have a deep, committed friendship without going for genital arousal. So this use of the word "relationship" is, in this context, an apparently intentional ambiguity.
Right from the git-go, dishonest argumentation.
“I posted this at their site (o tried to: it didn’t seem to go through):”
Your comment is there. Good post.