Hunger could be a distraction perhaps but being fat adapted means your brain is primarily burning ketones for fuel instead of glucose. Ketones burn cleaner in the brain with less reactive byproducts than glucose. Dementia eases when patients are fasted or given exogenous ketones. Being metabolically healthy and in a fasted state also means you're not distracted from dopamine snack cravings which many confuse with real hunger and I think has a worse effect on mood and cognition. In addiction your frontal lobe fights for control over your lizard brain. Addiction means your lizard brain is winning over self control.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8840718/ "The Implication of Physiological Ketosis on The Cognitive Brain: A Narrative Review"

https://pubmed.ncbi.nlm.nih.gov/33103819/ "A ketogenic drink improves cognition in mild cognitive impairment: Results of a 6-month RCT"