G4LogicalBorderSurfaces are defined separately for each direction of propagation. So yes, if your model requires a G4LogicalBorderSurface to accurately model reflector->scintillator transport, you will need to define it.
“A border surface is defined by specifying the ordered pair of physical volumes touching at the surface. Because the pair of physical volumes is ordered, the user may specify different optical properties for photons arriving from the reverse side of the same interface.” (Book for Application Developers)
This is incorrect. REFLECTIVITY is 1-(absorption coefficient). If you want a fraction f1 of photons absorbed, specify REFLECTIVITY = 1-f1. If you want a fraction f2 of photons transmitted, specify TRANSMITTANCE = f2. The rest undergo dielectric-dielectric interaction.
You’ll need to figure out what you want to simulate, and puzzle through the figure in the Book for Application Developers. Do you want opticalphotons propagating in the paper? Do you want total internal reflection? If either, dielectric_dielectric.