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I think the summary is by far not informative enough. IMHO, a reader acquitted with category theory should get a better view than "all concepts are Kahn extensions".
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Pardon the bike-shedding, but IIUC, using ε and η for (resp.) the left and right Kan extensions' natural transformations makes them reversed when considering
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as Kan extensions. IOW, since η is the name of the unit, going from 1 to GF, it should be the name used for the *left* Kan extension, not the right one, no?
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I think it would be much better if one could write down how morphisms are handled by the functor. It is an essential part of a functorial assignment.
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