How about removing it?
Right now it looks like conditional_dnp implies avoid_posting, but that's just wrong.
It reads as if this particular image should have been avoided.
So the proposition is to keep only the (artist) -> conditional_dnp implication for conditional DNPs, and reserve avoid_posting for artists who are unconditionally DNP.
Current setup makes it look like conditional_dnp is actually worse than unconditional dnp. It should be the other way around.
Updated