I'd start by looking at your wheel speed sensors. A good code reader could tell you if there is a problem with one. You could also be getting the surface so dirty that they no longer read correctly.

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I have a JK that acts similarly in sand. Instead of calling it a "traction control off" indication light, call it a "traction control" indication light. In loose sand sometimes the light comes on and the motor seems to bog down (manual trans). I believe that it is telling me to turn off the traction control because it is overwhelmed and fighting the motor. Once the traction control is turned off, the jeep is happy. Your mudding might be doing the same.

 

Dr. Obbins, your post brings up a point that I have been wanting to ask here for a long time now, but never got around to before:
Just when, or under what circumstances, might we want to turn off the Traction Control?

I've never tried playing with turning it off yet, and have only a handful of times ever seen it even momentarily activate (via the dash display), but I gather that there are particular situations where it would be beneficial to deactivate it ---- maybe when trying to free your Jeep from mud or snow, for example. But I've very vague on that feature in general, never having had it on a vehicle of my own before.

 

I’m leaning towards the wheel speed sensor too Silentfoe. Today I power washed the wheels and suspension but the light still came on afterwards. Then I took it through an automated car wash and ever since the traction control has been fine. Very strange and maybe coincidental. I made an appt with the dealer to have a look.