No, actually! There's no metadata option in .WebM to tell it to loop! It's not in the spec (which is just a subset of matroska).
The format literally does not support looping. Whereas the .WebP spec does provide a looping option:
https://datatracker.ietf.org/doc/rfc9649/
It's in the ANIM chunk which specifies the "loop count". If it's zero, loop forever.
WebM has no built-in loop flag 🤷