To each their own, if it works for you that's great.
I exercise 5 times a day, and I eat a very clean diet. Not keto or paleo, but definitely low in carbs, high in fat and vegetables etc. I still sleep for 20 minutes at lunch. Human adults are tuned to feel sleepy after being up for 8 hours or so.
> In a study published in Nature Neuroscience, researchers tested subjects on their perceptual performance four times throughout the day. Performance deteriorated with each test, but subjects who took a 30-minute nap between tests stopped the deterioration in performance, and those who took a 60-minute nap even reversed it.