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Does this mean the use of the term "1-click" will no longer be exclusive to Amazon or is that a part of some trademark type stuff?

No it doesn't. That is trademarked and up for renewal around the same time. But it can be extended where a patent cannot. https://www.quora.com/When-does-Amazons-One-Click-IP-expire

The term is trademarked, so it's only the functionality that will become unencumbered.