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Make up your mind first. If you are saying some people are veg because of health reasons, then they shouldn't have any problem with either spillage or even the food being cooked in the same utensil. Those who do have such problems do so because of purity issues only. Moreover, which even remotely healthy kitchen uses the same utensil unwashed to cook different types of food altogether? You want to have veg food, do. You want to be segregated while having it, then take it to your room.