My wife and I do not use daycare, so I am speaking as an outside observer. That said, I know many folks who do place their children in a professional daycare setting, so I have a good idea of the services offered by daycare providers (note: I am differentiating between in-home daycare and what I am calling professional daycare to make a point).
Sure, I hear the occasional complaint, but life and individuals are never perfect. However, I have never heard a parent complain about some form of forced social indoctrination occurring at a professional daycare service. Never.
Professional daycare services have one agenda -- profit. And, to obtain a decent profit (an interest return for you economists), these services provide for the wants of parents -- that's it.
Daycare services act as if the parent knows best. Parents want their children to be safe and secure. They also want their children to learn by participating in age-appropriate activities and learning experiences. A service that conforms to these wants, and controls its costs, will have a waiting list and its decent profit.
Of course, parents have different wants, but the market easily creates segments for any niche want.
Contrast the above with your local public schools. Agenda's abound. Why? It's government and its minions running the show for their own good; the parent be damned.
The wants of parents are nothing to these folks. In fact, the whole organization, from board to classroom teacher, consists of folks who truly believe they know best. And they truly believe that indoctrinating children with a mishmash of nonsense is their life's work.
For whatever reason, many folks distrust the free market. Yet it's the free market that exists to serve by providing for the wants of the consumer -- parents in this instance.
Government never seeks to serve by providing for the wants of the consumer, and government education never seeks to serve the wants of parents. Government seeks to solidify its power by inculcating the youth with its self-serving, statist nonsense.
Fear the state, always.