Hypertriangular works for anything where there is a slow sweep. That's why we don't use it for chorus or tremolo. Thomas Henry had a "Smooth phaser" project in Electronic Musician years ago, that used a hypertriangular LFO. It used an SSM2040 for the 4 OTA-based phase-shift stages, but you don't need to use that..
My point is that EMs sweep already *is* hypertriangular with triangular LFO signal, you don't want to make it more hypertriangular (by making LFO signal hypertriangular).
Here's a snippet from Hyperflange.PDF, where reason for hypertriangularity for flanger is explained:

Btw. A/AD flanger uses apparently same 1/x principle.
That's why we don't use it for chorus or tremolo.
Actually, Boss CE-2 clock VCO seems to be hypertriangular too (see
here) - it's just not that obvious, because f
MAX/f
MIN ratio is much smaller..
I would say that it's not about not using hypertriangularity for faster sweeps (it IMO makes sense everywhere where frequency is swept, no matter how fast), you just use much smaller
fMAX/fMIN ratios (~depth) (and maybe sinus instead of triangles) with faster sweeps.
Tremolo sweeps volume - it is IMO different ballpark, but actually hypertriangularity could make sense here too.. but "naturally sounding" tremolo is maybe too abstract term..
T.