My DS was the kid to be given stickers for getting 'easy' answers (they were nowhere near easy for him) or for simply listening like any other kid. He has additional needs (not SN) and had been told for a lot of his life that he was shit/stupid/dumb and although we were obviously boosting his confidence all the time, trying desperately to make up for that, it's going to overspill into school life.
Because the days when he wasn't being disruptive (and trust me, I did everything to help, saw the teacher, talked to him at home but you can't expect to sort out everything in a year, even in forever often) were good days for him. It was a desperate attempt at getting attention- and getting attention isn't a bad thing. He learnt that he would get attention when he did normal things or good things.
He's a teen now. He's not top of his class academically but he's popular, kind, friendly. He was given positive attention, a lot of confidence boosting and was taught at school and at home (and obviously by the FC previously) that it pays off to be good- and for us, good simply meant being like anyone else behaviour wise. His behavioural difficulties stemmed from the fact that previously (btw, this time was nothing to do with us) being well behaved had meant nothing- and I don't mean nothing in the sense of not getting a sticker.
My other two DC are and were well behaved in general, but both also have (emotional, which can cause behavioural, but in their case, not in school) difficulties. I've explained to them fairly easily- DS finds it hard to be quiet and listen or sit down, like you. So when he does listen or whatever, it means it's special in a good way. So when they do a special thing, which takes effort, whether it's something small like helping sharpen pencils or big like befriending a child who was sitting alone, they will get rewarded too. It's like explaining why one child will be praised for reading a shorter, easier book- different starting points, but the work put in to get them to an even lower level is the same, only in this case it's about behaviour, not academic subjects.