I think it would be a very good idea to make the link between the notion of 'hierarchy' as anarchists like to think of it and coercion a part of common knowledge, both inside and outside of the anarchist community. I think everybody being on the same page with terminology would help clear up a lot of miscommunication about anarchism.
I don't think that this is the primary problem that we're facing, though. I think that part of the reason that it is difficult to pin down a definition of 'hierarchy' that everybody agrees upon is because there are some 'anarchists' that don't actually want anarchism, but instead want a lack of personal accountability - in other words, the freedom to do whatever they want to whomever they want without consequences. If you frame this in terms of 'personal freedom for everybody', it sort of sounds like anarchism, but because it emphasizes positive freedoms to the point of discarding negative freedoms almost entirely, it actually ends up being a self-contradictory position where bullies have power because they're willing to penalize their victims into submission, and there are no collectively-enforced consequences for engaging in such oppressive behavior.
I think that the #1 problem that we need to solve is the issue of these individuals generally being an accepted part of our group (or society at large, even). Anarchism isn't actually a magic bullet for oppression, because even an anarchist society would eventually be corrupted into an oppressive one if bullies like this are allowed to persist and manipulate people into following them and their disordered ideology. To actually create a truly 'good' society, we need to learn how to reliably recognize these bullies and keep them out of our spaces. Anarchism helps enormously, because collective power is much harder to subvert than hierarchical power, but it isn't a complete solution on its own.
That said, being able to recognize coercion and manipulation in all of its various forms would help a lot with that goal, and so the goals of establishing such a common terminology and also teaching people how to recognize bullies in all of their various forms are synergistic.
I'm not sure what you are asking for. I'm just saying that it would be good for people to understand hierarchy in terms of coercion, generally, so trying to establish that definition as common knowledge would be a good idea.