Don't worry about it. The reality of Amazon selling that Amazon will not tell you is this. The lowest price offering of a product always sells First before the higher price offering, badge or no badge.

A better thought is this. Did you test sell your products yourself using FBM for at least a month. That way you know the products salability and if there is enough profit in the item to pay all the fees Amazon will assess, and still have have your desired profit left over for you.