For me, a rendering guy, that’s great! The data used at render time is very simple and flexible. Simpler than triangles even when you get into non-trivial operations.
Classically, researchers were interested in just using the splats at all. So, they just assigned a single color to each one.
This paper assigns a spherical harmonic-based color sphere instead. That gives it the view angle -> color function.
There is a second paper focused on moving splats. It just uses solid colored splats.
You could instead associate albedo/specular/roughness from real time materials and do real time lighting. But, you’d have to figure out how to generate/capture those values.
P.S. Not sure where the insight came from, but I was living near Boston at the time, and had young children :)