Whether it is logically inconsistent depends on how you define several terms. Of course everyone is going to choose definitions that make their points of view self-consistent... so that obstacle needs to be cleared first. You very quickly fall down a relativist hole.
The best way out of that hole is to describe things literally, with as little interpretation as possible.
For example, if you interview a hypothetical person Alex, and Alex claims to be a feminist, then you could write: "Alex, a self-described feminist, ..." but should perhaps avoid writing "Alex, a feminist, ..."
The first only relies on you, the audience, and Alex agreeing on the very basics of the English language. The second implies some sort of agreement between you and Alex on what it is to be a feminist; basically you are injecting your assessment of Alex's beliefs. In the first, the audience may disagree with Alex, but they should have very little room to disagree with you. In the second, the audience disagreeing with Alex pulls you into the fray as well.
The best way out of that hole is to describe things literally, with as little interpretation as possible.
For example, if you interview a hypothetical person Alex, and Alex claims to be a feminist, then you could write: "Alex, a self-described feminist, ..." but should perhaps avoid writing "Alex, a feminist, ..."
The first only relies on you, the audience, and Alex agreeing on the very basics of the English language. The second implies some sort of agreement between you and Alex on what it is to be a feminist; basically you are injecting your assessment of Alex's beliefs. In the first, the audience may disagree with Alex, but they should have very little room to disagree with you. In the second, the audience disagreeing with Alex pulls you into the fray as well.