Big Fat Lies basically adds vegetable oils, like cottonseed oil, to the mix. Basically all the oils that get the heart foundation tick, and are in most processed foods.
Mustards are usually OK. I will have mustard with my meat, or sometimes chilli jam, made with my own chillis. It has some palm sugar in it, but I eat so little, because it's so hot, that I think it's OK. I put butter on my veggies. I am yet to try to make a hollandaise sauce, but I will try. I'll also try for a sugar free tartare.
One thing I love, is salmon fried with a mixture of mascapone and wasabi. There's all sorts of ways to dress up a piece of meat that don't involve a sugar heavy sauce.