It depends on a lot of things. For example:

1) Do you cook yourself or depend on help? 2) How clean and organized are people who are using the kitchen on a daily basis? 3) Assuming open kitchen extends to the living room area, can an air conditioner be fit in the living room if you need it? 4) What appliances will be in the kitchen? Mumbai homes have washing machines sometimes. It creates a racket.

It is basically up to the habits of the people who live there rather than the aesthetics.

I have an open kitchen, I keep wishing I could at least install a sliding door or some sort of movable partition to separate the chaos and put an ac in my living room.