How do you define "Theme Character"? The two big Cali shows may be the only ones that use the term in the manner you mean it. Let's define it for everyone.

At RPF and its spinoffs or close imitators, most of the entertainment is organized into independently operated troupes. A few very focal roles are retained by the Entertainment Department and are used as a sort of "public face" for the event. Among these are usually the Monarch, the town Mayor, Sir Francis Drake, a representative of the celebration such as a "Master/Mistress of the Revels, one or more of the Queen's favorites, etc.

Mr. Wagstaff is asking if that character should be among those.