More robust Vertex Colour baking

First post and not super experienced so some terms may be wrong.

I recently found out that baking lighting to vertex colours was reimplemented as of 2.92, but I'm disappointed by how it seems to ignore nearly all properties of lights.

Example is the cooler from The Simpsons: Hit & Run as a reference, Viewport Shading with Studio lighting on the left, vertex colours as used in the game on the right.

What would be ideal is something similar to Viewport Shading with Studio lighting but with support for lights and the ability to bake this lighting to vertex colours.