From what I read that is the "parking light" indicator which would also be on when headlights are on as the op experienced. And yes it probably is LED based on the brightness.
According to the jeep iPhone app it is " an indicator of whether position or headlights are currently on"
2011 WK2: Limited, 4x4, Hemi, 730n, Class IV Tow, Brilliant Black. 30% Ceramic Tint, Lockpick, LED DRL, LED License Plate, LED Backup, LED Liftgate (all), Axle/Transfer Case OEM add-on skid plates, Sharkfin Antenna.:thumbsup: