Reminder that the screen is a false positive protection mechanism and will only ever be seen in a specific context.
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).
You did say "likely" but to provide an example: skiers who know they fell cannot comprehend the message trivially (not having noticed it's existence) and summoning help is often not the proper action to take. Call centers serving ski towns are swamped with false positives due to this issue.