Apparatus and a method for selectively vapor-coating an extrusion die to extrude honeycombs with desired distributions of web thicknesses, wherein at least one perforated impedance or preferential coating plate with a desired pattern of holes is positioned adjacent to, but spaced apart from, a face of the extrusion die to be coated, whereby a coating gas passed through the coating plate and into the die imparts a desired coating distribution to the extrusion die slots that is effective to closely control the web thickness distribution in honeycombs extruded therefrom.