Earlier quoted context omitted.
Facebook has a patent for using gyroscope data in conjunction with location to know who you are facing with other people around to enhance friend suggestions. You can also determine things like health and other physical characteristics, similar to gait detection.
...wait, how do you get orientation relative to things around you (rather than just your own previous orientation and gravity) from just gyro/accelerometer data + location? If you do have some source of absolute orientation, like a compass, surely you just use that and don't need the gyro.
I just took a quick look at https://developer.mozilla.org/en-US/docs/Web/API/Detecting_d..., and it seems to provide orientation, and not angular velocities. So it could also be that browser implementations fuse magnetometer and inertial sensors to produce the orientation estimate. Is there another gyro API?