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Comes with your system, and is updated alongside the rest of it, so it should never break suddenly or lag in terms of supported features. This is the finder most software will expect to find and use.
Finder is well-supported by Applescript and/or Automator.
Con Non-hierarchical view
Finder does not have a hierarchical view of the filesystem.
Con Sorts folders between files in some settings
Folders and sorting gets weird in some cases.
Con Very few features
Need for a lot of external tools.
Con subfolders side-by-side but no file details
The side-by-side view of several sub folders is useful for many people, but in this view you loose all file details.