Their examples does however only look a bit like distorted pixel data. The hands of the children seem to warp with the cloth, something they could have easily prevented.
The cloth also looks very static despite it being animated, mainly because the shading of it never changes. If they had more information about the scene from multiple cameras (or perhaps inferred from the color data), the Gaussian splat would be more accurate and could even incorporate the altered angle/surface-normal after modification to cleverly simulate the changed specular highlights as it animates.