book of chest anatomy and mimics

So I checked the wiki and couldn’t find anything about this, so I turn to you guys.

Does the "Book of Chest Anatomy" affect the quality of the dropped content from a mimic because when you kill the mimic you are technically breaking the chest. like if you had the book and the mimic tooth necklace would it make the book worthless?

I have an opportunity right now to grab the book and the "Mimic Tooth Necklace" which I am going to do. But it made me think weather it was going to be worth it or not. Does anyone know for sure? Thanks