I fully agree. The original request can be read either either with a neutral/oblivious tone or a negative demanding tone. This is the wrong way to ask someone to do free work for you regardless if it's reasonable or not, and the issue is compounded by highlighting the financial aspect.
The followup email proves that taking a negative reading of the original request is the more reasonable read of the writer's intention.
The followup email proves that taking a negative reading of the original request is the more reasonable read of the writer's intention.