Ruth does not even list the type III band w/bayonet lug
I do not know for sure about his book listing the bands, although it is a magnificent publication.

I will make a guess. Most authors' books cover the production of the firearms, which means they have information on the production and sub contractors. These contracts were directly with the government.

These contracts are not in the 1946 published books by the carbine makers about their production and their sub contractors.

Most research in the past has not covered Ordnance and its contracts of spare parts. That is one reason why the "Post War" myth has been around for over 40 years.