I wonder if you can help me with that then, because I can't see that what I have said is off-topic. All I have done is responded to you point-by-point, and it all looks pretty well relevant especially in context of the topic of the thread.
There's a few different branches to the inverse of righteousness.
When we consider the Merriam-Webster Dictionary's
definition of righteousness as the "morally right or justifiable", then the inverse must include something that makes a person incapable of being justified according to morality. I always take Matthew 7:12 as the best ultimate definition - it eliminates arguments about "subjective" and "objective" morality by fusing the two into one.
What leads a person to doing something that they cannot justify according to the moral law? Of course it must be sin, because the inverse of sin is love, and "love does no harm to a neighbour" and "there is no cause for stumbling in the one who loves his brother, because he abides in the light". Furthermore "love covers all transgressions".
So the one who is practicing the inverse of righteousness is walking in the darkness and is not doing unto others as he would have done unto him. I think some words that describe the inverse of righteousness might include "iniquity", "sin", "wickedness", "murder", "deceit" and so forth, but I think "iniquity" and "sin" are probably the two most broad and accurate words in my present vocabulary.