False. We do crave stuff. The microbiome contributes to and influences cravings, but the way you're phrasing it is misleading.
The fact that this doesn’t happen should give you pause about this woo-woo theory of cravings.
The reason you crave sugar and fat and other tasty things is that they taste good. You evolved in a world where feeling rewarded and driven to consume more of these was beneficial to survival when food was scarce.
Covered in my comment above: The more primary drive is that those are high calorie foods. A drive to consume more high calorie foods is beneficial in times of food scarcity, like the past.
It does some decimation, but not a full genocide.
Antibiotics are a far more powerful and faster modulator of gut biome, therefore if the above was true we’d see similar effects occurring more rapidly with antibiotics than diet.