If you want to get more meta, you could have the characters in the story use game theory to analyze the causal basis for oppobrium towards authors of self-insert fanfic (perhaps in terms of signals about underlying psychological states, and/or signals about abhorrence of some of those psychological states, and/or signals about abhorrence of inadequate abhorrence).

(And then, having analyzed the oppobrium and reduced it to game theory and social psychology, they could argue about whether or not the oppobrium "should" apply to their own author. And about whether or not having the analysis even gives them any useful information to help decide that question.)