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The cover is part of the work. There are a few other things I might consider problems, but this question is too nonspecific for me to identify what problems you have with the trope. I suggest a more detailed accounting before starting a Trope Repair Shop thread.
Link to TRS threads in project mode here.I meant it doesn't have anything to do with the content of the work which is pointed out in many cases there, so it seems weird to list it on the main page if its talking about something separate from whats going on inside the work.
"That's right mortal. By channeling my divine rage into power, I have forged a new instrument in which to destroy you."Again, the cover is part of the work. All Cover Tropes belong on the work's main trope page. The marketing department decided this was the "face" they wanted, regardless of its relationship with the characters/plot/setting of the work.
Link to TRS threads in project mode here.

Is there reason that Contemptible Cover is a main page trope. It doesn't really have anything to do with the work itself and hence would fit better under trivia or ymmv(assuming its debatable).