You are implying that a child's need for security in the form of having stable caretaker figures, guaranteed not to disappear no matter what happens, is a learned cultural thing. While this is in theory possible, every intuition I have gained from my exposure to developmental psychology disagrees, and quite strongly so. E.g. attachment theory - yes, there may be several attachment figures, but that doesn't mean that being betrayed by any in the form of abandonment is going to be any less shocking. You also haven't addressed the feeling that ensues from the thought that you can never really rely on anyone, knowing that anybody could at any time choose to abandon you, and the effect that is going to have for forming commitments later on in life. Or the constant pressure to be "good enough" not to be abandoned that children in such a scheme would constantly be exposed to. Young children are distressed by even such minor things such as disruptions in their evening routines, to say nothing about the knowledge that your entire home might change at any moment.
Wow, I'm surprised by the number of comments supporting this baby-swapping opt-out-of-mommy nonsense using self-reference as evidence. First of all- we were NOT like most children in our intelligence or rational abilities. Developmental psychology clearly demonstrates that there are many concepts most children are incapable of grasping until reaching certain ages. Do you really think an entity without basic object permenance can decide who its mommy is going to be? OOH That mommy has CANDY!
Also, we might NOT correctly remember how we reasoned things ...
People debate all the time about how strictly children should be disciplined. Obviously, this is a worthwhile debate to have, as there must be some optimal amount of discipline that is greater than zero. The debate's nominal focus is usually on what's best for the child, with even the advocates for greater strictness arguing that it's "for their own good." It might also touch on what's good for other family members or for society at large. What I think is missing from the usual debate is that it assumes nothing but honorable motives on the part of the arguers. That is, it assumes that the arguments in favor of greater strictness are completely untainted by any element of authoritarianism or cruelty. But people are sometimes authoritarian and cruel! Just for fun! And the only people who you can be consistently cruel to without them slugging you, shunning you, suing you, or calling the police on you are your children. This is a reason for more than the usual amount of skepticism of arguments that say that strict parenting is necessary. If there were no such thing as cruelty in the world, people would still argue about the optimal level of strictness, and sometimes the more strict position would be the correct one, and parents would chose the optimal level of strictness on the basis of these arguments. But what we actually have is a world with lots and lots of cruelty lurking just under the surface, which cannot help but show up in the form of pro-strictness arguments in parenting debates. This should cause us to place less weight on pro-strictness arguments than we otherwise would.* Note that this is basically the same idea as Bertrand Russell's argument against the idea of sin: its true function is to allow people to exercise their natural cruelty while at the same time maintaining their opinion of themselves as moral.
One example of authoritarianism masquerading as sound discipline (even among otherwise good parents) is the idea of "My House, My Rules." I've even heard parents go so far as to say things like: "it's not your room, it's the room in my house that I allow you to live in." This attitude makes little sense on its own terms, as it suggests that parents would have no legitimate authority over, say, a famous child actor whose earnings paid for the house. Worse, it's a relatively minor manifestation of the broader notion that the child has a fundamentally lower status in the family just for being a child, that they deserve less weight in the family's utility function. I don't think this is what parents would be saying if recreational authoritarianism really were not a factor. They would still say that they, by virtue of their superior experience and judgment, get to make the rules (i.e., decide how to go about maximizing the family's utility function, though even this might be done with more authoritarianism than is necessary). But you wouldn't be hearing this "I'm higher than you in the pecking order and don't you dare forget it" attitude that is so very common.
*Some might argue that arguments should be evaluated solely on their merit, and not on the motives with which they were offered. This is correct when the validity of the arguments can be finally determined. For most kinds of persuasive argumentation, especially in complicated and emotionally laden subjects like child rearing, arguments work on us without us ever being able to fully evaluate their merit. And in that world, it does make sense to down-weight arguments that have some bias built into them.