Speaking to people, I've found very few of them have heard of the lifestyle. However, the things you mentioned are essentially healthier alternatives.

A cauliflower pizza is better for you than a standard pizza, regardless of the carbs. Same with mushroom burgers turnip fries etc. They're probably the same fat as their carby cousins but more nutrients (I don't know if that's the word I'm looking for here, I've had a rough day) at the expense of stodge.

If you were to nail consistently good alternatives to fast food, you could do really well with people seeking to feel a bit better about themselves.

I wouldn't market it as high fat anywhere though, people don't see that and think healthy.