Alas, Philip, I don't believe that - in a database structure sense - categories are at all like profiles.
Actually, I do belive that you have hit upon a truly wonderful idea, though - it would greatly improve the all-around functionality of categories if their database tables were structured more like profiles!
Please understand that I am not privy to the WikiTree database architecture, nor should I be - that is prorpietary, and rightfully so. Based uon my experience with database architecture, however, I understand the types of fields that are required to implement the relationships between different tables and provide the data manipulation capabilities.
Based upon the way categories cannot ever be deleted, but simply vanish when both empty of content and unlinked from any other pages, my impression is that the database table in which they are stored either does not have or does not make use of an index. If the relationships between categories and profiles that link to them were implemented by means of an index field, then it would be possible to change the name of a category. Wouldn't that be a wonderful feature to have? There are so many times that a name was not created correctly and it is a monstrous task to fix it by creating a new category with the new name, moving all the content from the old category page, and finally going into every profile that links to it and changing the link that calls the category name.
That is but one example of the improved user interface that is possible; your question is another example; I can think of a few more off the top of my head. If, as I believe is a no-brainer, everyone says "oooh, that would be great to be able to do" a decision to do it is not automatic. There is the question of cost, which must be weighed against benefit:
How much will it cost in both effort and resources (storage space and any additional processing overhead)? ... it will take programming effort to implement, so it is not our decision to make of whether or when or to what extent additional capabilities are implemented.