It's not central to the argument, because the OP's position is obviously suboptimal for the company. However, yours is an interesting view, and a point in my argument that does require clarification.
Current good management practices envision managing as optimizing company behavior for all company stakeholders. In past times, management optimized for shareholder profit. Optimizing for shareholder profit alone has been repeatedly proven not sustainable. It usually leads to very spectacular failures, which themselves cause the public notion that all management is still shareholder-oriented. Not all companies are managed like this. Successful ones manage their relationship with all stakeholders. It is in this view that caring for candidates is important.
In this view, in order to maximize long term profit, you should aim to create positive effects on every individual or organization that somehow interfaces with your company. This is obviously theoretical, and impractical. Sometimes it is just not possible, and anyhow you have to give higher importance to central stakeholders (shareholders, customers, employees). However, when the cost is not too high, you should strive for positive impacts.
In hiring, the cost of reviewing non-standard resumes is not relevant. The cost of causing a bad impression on the random important candidate that you decline, or the cost of missing an excellent hire, is relevant. The OP's position is fundamentally wrong.