Traction Control on a 2002 Mustang GT, potential causes for it being seemingly disabled

A couple of weeks ago I suddenly noticed out of the blue that the indicator light for my tractioncontrol was on, indicating that T/C itself was switched off. Pressing the button does nothing to the indicator light, leaving it on. And it's been that way since then, with one notable exception.

One start I did notice the light was off (indicating the T/C was back on), and I was able to switch it off and on again with the switch. Once I'd driven home however I noticed the light was back on (indicating T/C was off again), and since then the light on the switch has always been on (indication T/C being off).

I have not specifically pushed the car to a point where I'm trying to forcefully engage the traction control, or even the ABS to verify if the system is operational and the indication on the dashbutton is just a false-flag. Might still do that.

Now I know that this does not indicate the car is undrivable (some of you would state it's the only way to drive (thus jokingly stating that nothing is actually broken, and this is the way it should be), or have it switched off via a tune or something by default). But since my car is not tuned, and while I don't need T/C to be operational to drive (it rarely kicks in whenever it's normally engaged), the fact that this indicates 'something' is seemingly broken irks me. And thus I'd like to inquire as to what might be potential causes.

Seeing the switch operated normally on one occurrance since it 'malfunctioned' I'm ruling out a fuse or something. Also this indicates the switch in the dashboard itself is fine.
Other threads on the T/C indicate it's closely related to the ABS system. If that had a fault I'd expect atleast one of two things:

• An indication on the dash marking the ABS as faulty (which isn't lit, and the light is sound since I see it when engaging the contact prior to starting)
• A code in the OBD2 system (which has NO codes, and no 'Service Engine Soon' indicator on the dash).

So the only thing I'm faced with is the lit light on the dashbutton indicating T/C is switched off. No codes, no other fault indications, and a fully drivable car. As stated, no forceful check done (yet) to verify the status of the T/C (or ABS).

So I'm curious if anyone has any idea where I might start to look for a potential fault.