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Off My Chest
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He is definitely entering REM sleep in that amount of time, even more so because it's routine. Your body can enter rem almost instantly when adapted to polyphasic sleep schedules for instance.
We enter rem sleep multiple times in a nights sleep, it's a cycle and it can kind of be messed with.
Benefits of napping but mostly only if it's long enough to enter rem. https://onlinelibrary.wiley.com/doi/10.1111/jsr.14177
Extreme polyphasic sleep and how rem isn't reduced significantly. https://www.biorxiv.org/content/10.1101/2023.06.20.542775v1.full
Polyphasic sleep to that level (3 hours of sleep a day through 20 minute naps) is a bit extreme and has other complications. Splitting your sleep schedule in two seems fine, although I don't know of any long term studies.