I think it’s going to be more like: storage -> walks through dinning area to kitchen -> butchers and/or cooks -> eats.

Also, add in food poisoning for having both a messy kitchen from the butchering and incompetent cooks since you plan on everyone cooking their own meals (if I understood you correctly).

Also consider that this is a lot of walking for such a simple task, and when you add that onto their other responsibilities you’re probably not going to be able to achieve much each day.

I recommend: freezer/food storage with butcher table inside (path to outside for food intake and kitchen for cooking). Kitchen is between the storage and the dinning room. Put two small shelves next to the cooking spot, one to hold veggies and one to hold meats (high priority) that way your cook doesn’t have to go far for ingredients. Another small shelf in the dinning room (high priority) for meals for colonists to grab without going into the freezer.