I understand your thought process on the game design - playing with the distractions will lower the distraction bar because they're no longer there. Your game deals with the distraction not by avoiding them/putting them out of sight, but actually playing with them (Press or drag the mouse click to play the piano; Draw on the paper until it disappears by holding down the mouse click; etc).
Do note that the game design should show the intent of the game - which is how to deal with ADHD. Unless your point was to show how people with ADHD feels like everyday. Though seeing your design about how you have a distraction bar, that does not seem to be the case - because the distraction bar indicates that you want to deal with ADHD and lower the distractions (yes, I'm repeating words).
Now, about your words "it's just a game". Sure, maybe it is. But do remember that you joined a Mental Health Game Jam, and the point is to make a game and talk about mental health (raising awareness, showing how to deal with it, etc). So you have to be careful about it.
But no, I am not offended. I am merely pointing out flaws in your game design that you might be able to improve on for your next games.