While a CB boat has more moving/working parts that can and sometimes do malfunction, I would agree with Jeff H that the real difference isn't much different than comparing a deep draft boat to a shoal draft. (If it is a quality design.) That being said, if I were delivering someone elses boat and didn't have any idea about the condition and maintainence of the CB, I wouldn't lower it either. Why risk a posible malfunction while off shore.
hunter Legend 37 Semper Paratus
Formerly - Tartan 34C Yawl