Actually, they are attempting to do both. They need a homosexual Jesus, a whore-mongering Jesus. They need him to be a married liar. They need a Jesus who says one thing and does another. All to justify their own sins. In the process of creating their own personal Jesus they work to make the Real One look like a chump. It's a two-fer.
I heard some jackass on the radio, when asked if he thought this latest scrap led him to believe that Jesus had been married, say that he thought “The Last Supper” painting made him think about it (as if it was a Kodak rather than a painting done centuries later, with characters sitting at an odd table in which you ate in a line instead of gathered “around” the table).
The Gospel mentions that some fabricated a story at the time of the Resurrection to explain the missing Body, and “they continue to do so to this day...”.