??are we suggesting that ... ???being a _pre-sheaf_ topos is a kind of analog of being an _affine_ scheme ??? .... ???or something ?? ... ??hmmm, but as part of _what_ analogy or analogies?? ... ??and as not part of what other analogies ... ??...

??something about "accidental" here ... ??? ??accidental analogy, or something ??? ...

we think we had one main analogy where the topos analog of "non-affine" was missing, right?? ... ??or ... ??was that before we started thinking about ... ??something about idea of ... ringed topos as analogous to framed topos instead of to topos ... ???or something ?? ...

??meanwhile we seem to be developing some other analogy and/or analogies here ... "variety as analogous to toric variety" or something, and so forth ... ??including "accidental" variant, or something ... ???....

???with this latter alleged analogy, what about something about ... ??maybe analog of "cohomological interpretation of non-affine", or something ??? ....

??maybe this is on the right track, and we (??fortunately?? ??or something ??...) don't want the "accidental" variant here, because we want something like ... ??"the unit object to be non-projective" ... ???or something ???...

??well, still some confusion here ... ??maybe actually not being a pre-sheaf topos ... does involve the "accidental" stuff ... ??or something ??... and so forth ....