Evolution requires truth to function. Evolution progresses towards truth. The inverse view may be complete and stable but it is not true by the normal use of the word.
The term inverse theory originally came from the following notion: an idiotarian is a person who needs an anti-idiotarian to tell her/him what white is, so s/he can call it black. I don't think this is the right definition for idiotarian, but I do think it's a useful idea and deserving of a word. Moral inverter is fitting.
(I've been using 'view' and 'moral view' interchangeably. I just used 'moral inverter' for someone who inverted a physical fact. Basically, I don't think there's any particular difference. Because people twist their factual theories according to their moral ones.)
If a moral inverter's view is not true, s/he cannot evolve it. So, to create it, s/he must find a true view to reverse.
But how can we reconcile this with the notion that someone holding on to a part of the inverse view, will, as s/he approaches a complete worldview, approach the inverse? Well, if an inverter has a bunch of inverse theories in a sphere, s/he can compare new ones to the preexisting ones for consistency, and to see how well the theories mesh in terms of explanation. However, when approaching a completely new issue, won't the inverter be at a loss?
In a sphere, to make very much progress, one needs to have some notion of what truth means. It doesn't need to be explicit (in a language with symbols and grammar). Without some notion, how can one evaluate theories? One cannot. Of course, in all objective spheres, every person alive does have such a notion. But sometimes the notion is only marginally better than none at all. I would offer up aesthetics as an example of a sphere where people do not have a good conception of truth. I would offer up science as one where people have a very good conception of truth -- true scientific ideas correspond to physical reality.
If a practitioner of the good view approaches a new sphere, s/he will create some notion of truth, and try to make progress. If a practitioner of the inverse view approaches a new sphere, I do not expect her/him to create an inverted notion of truth -- an inverse-epistemology -- and make progress towards it. This is because no one wants to be bad.
Talk to an inverter. Ask her/him about her/his view in some sphere s/he hasn't thought about much -- try to get her/him to create a view. In my experience, s/he will likely be at a loss. This is because s/he does not have any epistemology to work with in the sphere. However, if I present my view, the inverter will no longer be lost. Her/his worldview is very clear that I must be opposed, and thus s/he will chronically disagree with me, and set about creating the inverse view of mine.
The word 'true' generally refers to the good view. But the inverse view can have its own meaning for truth. But few or no people actually adopt the inverse meaning for truth explicitly. It is very difficult to adopt, because no one wants to be bad.