Actually I suppose her shelving that info doesn't mean they're aligned, could easily be hiding info across the isle
Very simple - she saw me come out with info on Hime, then suddenly claimed that she shot Hime and then failed a kill. When asked why she holstered that info she bsaid some crap about how she's still going over what she did last night and she has a bunch of different directions she's pursuing.
The obvious caviet here is, well, you know, but none of this really make sense, I think cake was trying to get a dunk on Hime after i came out with my own info. I don't really see an alternative of her suspecting Hime enough to shoot her, but never mentioning anything about it, and as far as I can tell from ISO never so much alluding to even her own suspicions