Modern government regions are fine for modern studies (and not irrelevant to the study of past centuries, eg "To which authority should I write to check on the current locations of archives for Xville?"). But a genealogy site should have more obvious links to a list of the "traditional counties", because over 80% of the country's decades that are of genealogical interest had those counties as the basis of most public records. See, for example, 
The same applies to Scotland, Wales, and (both current divisions of) Ireland.
You may be thinking "ua" is too modern a term for us to bother with, but genealogists in Berkshire got very worried a few years ago when the county decided to break itself into 5 or 6 unitary authorities without a thought as to how to care for its centrally-stored archives.
No, I don't think we should add Ceremonial County. It really has no part in county structure, it just indicates that the county's new unitary authorities fall in with the rest of the county on ceremonial occasions (such as those being held today which happens to be 11 Nov--Remembrance Day). I think it is best to continue to define it via Wikipedia, i.e., [[wikipedia:ceremonial county|ceremonial county]] when required.
I had a laugh this morning when I found that someone had written