OBJ export (via the MTL file) can only support very basic material settings.
COLLADA is capable of transporting more in the way of material information.

Unfortunately your at the mercy of how any and all settings are translated in and out of any program, so it's rare that you'll get something usable when transferring between apps.

You'll just have to accept that as you'll need to rework the materials in the target app anyway, that you're better off using whatever transfers the geometry the "best" and not worry too much about materials beyond the actual zones transferring.