  We improve the arithmetic duality formalism of the rational etale site. This
improvement allows us to avoid some exotic approximation arguments on local
fields with ind-rational base, thus simplifying the proofs of the previously
established duality theorems in the rational etale site and making the
formalism more user-friendly. In a subsequent paper, this new formulation will
be used in a crucial way to study duality for two-dimensional local rings.
