It is your last paragraph that gets my attention more:
That cooking together isn't just about cooking, right? You not only prepare a menu with the role of each person present there, but also provide a balance in the relationship that exists with each other. It will further strengthen the emotional bond, level of closeness and caring. You will not be able to live alone without the attention and care of others, especially from those closest to you.
You are right, eating together at a restaurant, eating together at a banquet at someone's house and eating together that begins with cooking together are 3 very different things. there is a different feeling and impression when leaving the atmosphere of the three.
Families that cook together, laugh together :D
Going out for dinner is nice on occasion, but there is something far more special about eating in with friends and family.