I'm not sure why you'd eat the one becoming a zombie, wouldn't you rather become a zombie first?
Cause it's an error, i checked the french translation and somehow here they change sense for some reason (mistake ?).
In french Saori said she would let Shizuku bite her so they can be zombies together more precisely "so we can stay together" and in page 4, it's "She let me ate her with a smile".
I'm going with Windyfall's translation, if anything because it's funnier (and I can really picture Saori doing it, it's so fitting).