Sequential vs Path-based Design

Scott Nicholson’s white paper on escape rooms details three common methods of puzzle organization: Sequential, Open, and Path-based (Pg. 17). A sequential design was described as one offering players a single path of puzzles. An open gives players access to a large number of puzzles simultaneously, usually each contributing to an overall larger ‘metapuzzle’. The path-based approach is effectively a hybrid of the two. Most rooms I’ve played gravitate towards one of the the three listed options.

Is any approach more fun than another? What are the advantages and disadvantages each approach holds? Long post ahead.
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