Nope this is false, you can turn it off or even set it to on during workouts.

Open the Apple Watch App, go to Emergency SOS, and then you can toggle it from there.

I think there are two types of detection. Fall detection and risk of falling alerts. I have the fall detection only turned on while in a workout. I have the 2nd gen SE. You can also turn it off completely.

fall detection too, i think it’s on by default when a workout is detected

ok I’ll do this, thanks