I don't know if you know Konata here at all, but she's a serial 4th waller. She doesn't actually break walls, without a good reason, but she'll use 4th walling knowledge to know who's trustworthy, who's cute, who's fun to tease, etc. Is that okay or would you rather Kona not recognize Alice at all? Either way, Alice probably wouldn't notice any difference unless she got really close to Kona for some reason.