Sorry, but that's just a pedantic take when we're discussing what is the best UI /UX for wearers to know how to instinctively react in a possibly stressful moment.

You have to solve for the lowest common denominator, not the hacker's technically correct preference.

This ain't about the watch falling, it's about someone possibly needing to call emergency services and contacts when they're hurt. "I'm OK" is a great prompt in that context, even if it's not an explicitly accurate response to whether the watch or wearer fell (which in turn is why the focus is not on the fall but on their need for help).