Why is this light

Is this light switch supposed to light up like this when the car is off and locked? I've heard stories that it's possible that some fuse or relay for this switch is broken and that's why my battery is constantly draining?

Is this light switch supposed to light up like this when the car is off and locked? I've heard stories that it's possible that some fuse or relay for this switch is broken and that's why my battery is constantly draining?