Either bulb can be used with a rawhide shade, but the CFL's low heat makes it ideal for getting the most life from your rawhide shade.
Protect Your Shade
Natural rawhide looses moisture over time, especially in warmer climates or under drying conditions such as under a heating/AC vent. To get the most life out of your rawhide shade regularly condition it with Arizona Rawhide Shade Conditioner.