There's no part of the mechanism by which the neocortex is impaired in ADHD that explains "justice sensitivity" except dysregulated emotional control, which is present in myriad disorders and may result in hundreds of psychological pathologies.

If you've any sense of justice at all, you may feel it to a greater intensity than the average person but have less chance of directing it towards useful action. If you get so far as to take action, tendency towards impulsivity also dilutes the utility of such a trait.

You've got the best chance of taking thoughtful action if you're also intelligent, but in ADHD, all that's going to do is add a layer of imposter syndrome to a positive outcome because a part of you knows you weren't in full control when you leapt into the fray.

I'll also point out that the second result of the search you posted is a study that attempts to quantify the phenomenon of 'justice sensitivity', and concludes by suggesting "that higher justice sensitivity in people with ADHD is a coping strategy to prevent the impression that they do not care about social norms and thus to avoid social conflicts and denigration." I don't think that's the the only possible interpretation, but it does speak to what I've described.