"canonical saturated colimits sketch structure" analog of "canonical grothendieck topology" ??? ... ???also "subcanonical" ???? ....

??hmmm.... ??so perhaps i've been somewhat unhelpful / wrong in sometimes telling people that "lawvere-tierney topology" parses very differently than "grothendieck topology" ... ??well, or maybe not that wrong ... just that there's this sort-of funny way of interpreting "lawvere-tierney topology on topos t" as "subcanonical grothendieck topology on topos t" ... ???and ... question whether for example allan adler might actually have been trying to get me to understand this ??? ....

??question whether concepts of "canonical" and "subcanonical" grothendieck topology were introduced only / mainly for application in case of grothendieck topology on topos ?? ... ... hmmm, but then ... ???idea of using canonical topology on category that's somewhat but not completely topos-like, to "toposify it" .... ??or even toposify in this way a category that's _not_ particular topos-like ... ??? ...

?? syntactic vs semantic here ... ???maybe shift in viewpoint as to which is which here ?? ...