The polyhedron being rendered only has 32 vertices and 60 triangles. The indexed mesh gonna take 744 bytes of VRAM with FP32 coordinates and uint16_t indices, which can be reduced to 552 bytes by using FP16 coordinates. That’s less data than the GLSL source code to compute and render the SDF. Also, if MSAA is enabled rasterization will deliver better visual quality.
This is far more about SDFs than it is about the polyhedron.