Art Deco Complete is a gorgeously published book covering multiple aspects of Art Deco development. The illustrations are large, numerous and clear, and supporting text is very informative and relatively concise. The organization is sometimes a little bit confusing, but it is almost inevitable for an encyclopedic text which is trying to be not be too dry.
Effectively, the book consists of two parts: first part is set up in chapters according to the media (ie. furniture, or sculpture, etc) with a relatively short introductory text per chapter, followed by more detailed information focusing on the best known, and most spectacular, artists working in that area. Second section is a more encyclopedic section with listing, and short description and some illustrations, of other people of significance in the area of Art Deco. This book is not the MOST complete list of all artists and their work as relevant to Art Deco field, but that is where books focusing specifically on Art Deco Furniture, Art Deco jewelry, Art Deco Jewelry, Art Deco bookbinding, and so on come in to play (Alastair Duncan has authored enough of the specialized books, so the omissions in the Art Deco Complete are not due to his ignorance or bias. This edition is already so heavy - you do need a table to read the book as it is too heavy to hold it any other way for a long time - that adding additional info will have to result in reducing the quality of illustrations, which, to me, are the strongest point of the book.
I have a number of other Art Deco books, by Alastair Duncan and other authors, and this one is the best of them all, both in the informative and inspirational aspects.
P.S. I had a chance to read only the Abrams edition, and do not know how does it compare to the Thames and Hudson edition.