Are they classified as terminals, connectors, both or neither?
Picture shows: bullet, knife, quick-connect
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Terminals are where conductors or wires "terminate" and usually, in an electrical context, are a semi-permanent fixture (that requires, for example, a screwdriver to un-terminate). Items 2 and 22 in your list would qualify by that definition.
Everything else appears to be plug and socket style connectors.
You'll just have to accept the fact that both "terminal" and "connector" are very broad terms that have a lot of overlap.
Generally speaking, a "terminal" in this context is something that goes on the end of a single conductor (e.g., a wire or PCB trace) in order to facilitate making connections.
A "connector" is a broader term that generally implies a housing that physically supports and insulates one or contacts (or terminals), and may include features such as alignment, strain relief, latching and protection from intrusion.