Your example is EXACTLY what I did for my purchase that fell through. Now in my case I was represented by myself, a licensed agent under the employ of a broker. Thus I did submit a coop commission agreement where I altered the CBB from 2.5% to 0. Obviously my inital offer on the home was priced to work this in. Nowhere in the contract was a commission ever mentioned.
Note though I had to do it this way as I did my self representation through me as the agent.
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If I wasn’t licensed I would have assumed no CBB at all to me and I would have simply submitted the offer (less the assumed CBB) with no coop commission agreement.