??possibility of "generalized eckmann-hilton ..." .... (??"structure reducing to property ..." ...???...) ... ??involving ... ???essential models .... ????? ???hmmm, but ... ??? ???total absence of essential models in "projective toric" (??...) examples we've looked at?? .... ?????......

???_any_ case of "nice" (??...) but non-free filteredly cocomplete category with essential model ???? ...... ???? ..... ????? .....