Idk about staggered cadence, as that kinda sounds like overengineering a solution to me. But when I'm having trouble sleeping because of thoughts racing in my head (AuDHD, common problem for me), any audio with human speech is pretty good at disrupting that. My go-to is softly spoken ASMR videos, but I've also fallen asleep watching chill cartoons like Futurama and 90s Batman. I've also had it work with audiobooks but this is suboptimal because then I lose my place.

My theory is that it works because my thoughts are like a voice in my head being spoken by my internal dialogue, and it's hard to hear two people talking over eachother. So introducing another voice occupies the language-processing part of my brain and therefore blocks my ruminating thoughts.