Consistent stutters on Steam Deck that never exceed 33.ms

I've seen this on all of the N64 recomps that I've tried so far. Each stutter never exceeds 33.3ms, so isn't noticeable when playing at 30FPS or below, but is very obvious above this framerate. It's easily replicable in Zelda64 by simply running around the clock tower in Majora's Mask's Clock Town.

I thought this was something to do with each game originally running at 30FPS at first, but this obviously wasn't the case for Majora's Mask, so it must be something else.

Bizarrely, I don't get this on my RTX 3060 + i5-12400F PC. Not sure if this is simply due to the hardware difference or some kind of Linux or Steam Deck specific compatibility issue. I've tried both the Windows executable through Proton and the native version and have gotten the same results from these.

Alex from Digital Foundry seems to somewhat mention this in his original video on Zelda 64 (timestamped).