I had a memory of looking into how the four factors (shooting, turnovers, rebounds, free throws) were weighted empirically, and I guess I posted about it last offseason:
You can kinda intuit this by looking at charts of how each four factor (eFG, TO rate, OReb%, FT rate) is correlated to adjusted offensive efficiency: Verifying Browser...
eFG has the tightest relationship on the chart by far.