Soft Enamel is not really soft. It is the standard colored lettering that is an inset on the badge. You can run your fingernail across the letters and feel the impression. Soft Enamel lettering is included in the badge price.
Hard Enamel is a processing method where the glass enamel-(cloisonné) is baked into the stampings and then stoned flush with the surface of the badge. The result is a badge with a smooth finish. Hard enamel lettering is an additional option on Nickel, Rhodium and Gold Finish Badges.