There are some interesting visuals, but the film is basically a mess. One character is wounded and has an emergency valve stuck in his chest so he can occasionally release the air pressure that threatens to collapse his lungs. Three Kings seems to have a similar valve on it. Director David O. Russell's fingers are on that valve, dissipating the film's pressure whenever it builds. The woman is half pushed, half dropped into a variety of highly explicit adventures in Paris.
Romance has a bit of notoriety because it slides into the realm of hard-core porn.
Women go along with it because their inner desire is to be a nothing, a hole. And the ideas expressed in Romance are sheer liverwurst.