"Dance your PhD" exists for several reasons, but one of them is to point out that the divorce between scholarship and art in some academic fields isn't "required" but an accident of how we separated colleges and how hard it can be to do multi-disciplinary work.

You can do both: prove the base case and reach across the aisle to the art college next door to see if someone is interested in the follow up "creative exercise". You can present both "here's what we can prove" and "here's an extrapolation by a skilled artist of what additional layering/contouring might have done".