I think someone has already beaten you to it with "fat bombs". Whilst it is all about moderation, you can't survive with fat, but you can without sugar which should push moderation towards fat at the very least.
To suggest that your body magically creates more energy out of what is ingested because of a 'slowed metabolism' is ridiculous. 'Processed' food may be more 'fattening' because it is low in satiety and easier to over eat due to being calorie 'dense' for its volume, though if eaten in moderation ie while still in a calorie deficit you will lose weight.
Low carbohydrate and low fat diets may lead to long term weight gain as they may be proponents of vilifying certain foods; pizza, ice cream, cookies, chocolate etc. The more 'austere' a diet is the more typical an individual will give up due to an an all or nothing approach to nutrition, leading to weight regain even beyond their initial weight.
A fifth of Britons consume a diet that includes only a fifth of ‘natural’ foods, but there’s more at risk than just weight gain
It's not that pizza is inherently bad; it's been made bad because it's more profitable. A pizza you make yourself from basic ingredients can be perfectly healthy! And for me this has been the key: I can have basically anything I want as long as I make it myself from scratch and know what's in it.
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Their vegan stuff aint too bad either if thats your thing