"Face to belly" argument doesn't make any sense to me. Yeah technically he's right in front of her belly, but how do you interpret the way she puts her hand on his head and the way she's looking down? Representation of conflict, as in "just keep your face to my belly!"

?
Not that it matters much to me anyway, the sex side of it, that is. That lift is simply great, the hands and the way she faces him by looking down a little too much but not that outrageous.
The main problem I have with their interpretation is that in the tango Tessa is picturing a femme fatale, which Satine is not. She's supposed to lure men in, to fake submission to get into their bed and get money. Like when she asks the owner of the cabaret what kind of woman does the Duke like. There is no domination in her character.
She's a strong women, that's for sure, but for most part of the movie she just wanna fulfill her bigest dream ie becoming an actress, and love just happens to her. She fights against her desire and Christian - not long- but she eventually end up by letting it happen. She wants to be an actress and to save the show so she goes to the Duke during the tango scene. She doesn't tell Christian about her disease. She manages to get into the scene and be applauded for her talent, and then die because of a disease.
This is tragedy, this is great dramaturgy. Where is that dramaturgy, the struggle Satine fails to overcome in that free dance ? The tango part is filled with sorrow, hatred and fatality/despair in the movie. The Duke basically rape her. There's nothing like it in their tango. All I see is a femme fatale who's pursued by some man, finally fall in love with, live happily for a little while and then die.
I don't have any problem with this story-telling, but I don't see Satine on the ice. I see a mix of V/M's Carmen and V/M's Mahler. And it IS a great programme. But on the MR music I don't buy it. Just my opinion.