I think I would. I"m running .016-.020 amp myself. The battery is fine even with sitting 3-4 weeks at a time. (I try to start the car every three weeks, drive it, and cycle the top but sometimes I get distracted and let it go too long.)

An LED that size means about .5 to 1mA. If the associated circuit is not a big deal, (and it apparently isnt) that led is not issue. I mean, my company car had a blinking LED for the security system that blinked anytime the car was locked!

I am NOT saying your light is not unusual, it is unusual. The only thing I can think of is to replace the BCM, since all the logic for the wing is in the BCM.