??so let's consider presheaves (??or perhaps more generally i want to consider prestacks here ... ??...) on the category of (??perhaps just "finitary" in some sense...) affine schemes and "localization maps" (or something...) between them ...

???something about "globalization of module categories" (or something...) here as "accidentally" (or something) giving ag theories which just happen to also be abelian categories ...???

??so what about something about various sorts of comparison functors between these presheaves/prestacks and those on the site category where not just the localization maps are included but more general maps as well?? ... and so forth ... ???something about "getting the ag theories to match" and so forth ??? ... ??something about image factorization of geometric morphism, and so forth??? ....

??something about possible sorts of "object/morphism confusion" in connection with "site" ?? ... and so forth ... ???maybe also "morphism/covering confusion" ??? ....