At the moment, you can set the description, appearance (color and linetype) and the state of a layer in the parameters of the DWG writer(s).
So two layer properties were overlooked here: Lineweight and Transparency.
I would like to see Lineweight added here. Moreover because it's not possible to create a template with correct layer lineweights on beforehand. So I believe there is no way to set the layer lineweight, without having to use a LISP routine/AutoCAD script.