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The special Holiday edition would have been a promotional deal for stores. It has a red border on the cover.
A library binding is the really sturdy hardback designed for use in a library. Trade binding would be the large sized paperbacks.
Looks like there are 53 types of hardback for this book.
All of the ISBNs appear to be in the PBS system as Hardcovers. None of the listings mention anything about a special edition. I would think either of the non-library ISBNs would work. The title matches, the author matches, the book has the ISBN printed on it, and if the binding is listed as a Hardcover and you have a hardcover you match the 4 required points.
If you are worried, you could always PM your concern to the wisher and tell them if there is something that would be on the dust jacket that you are missing, you will cancel the transaction.
Usually the details given for the ISBNs clearly indicate that they do, or don't, apply to your copy. I would expect those indicating that they belong to a trd bdg to possibly be Trade Paperback, but since the book is so old, I think it is just differentiating between two different kinds of hardcover - a controlled marked (library) and retail (trade).