I think it's time for this old geezer to bail on this thread. It's starting to resemble a journey down the rabbit hole, which often happens on the interwebs - lol
Reckless and irresponsible are synonyms.
The rabbit hole is a discussion about reckless driving. The original point was that someone's 2A rights were suspended for a non-violent misdemeanor. Rather than get caught up in reckless driving as the example, think about littering or jaywalking.
Supervision is like mini-probation. For 2A rights to be suspended for someone on felony probation makes sense, but for non-violent misdemeanor supervision not so much.
Supervision is a county court thing. Unless someone does a survey of all IL counties (FOIA?) and makes a bigger political issue of it to change the courts, it's just one more reason to be cautious before agreeing to anything.