Not who you're asking, but this is clearly a problem for infants and young toddlers (the data is fairly strong for under 18 months, and gets less clear the older you get from there), though it still gives the children the human interaction they need.

Results are best when there is a single primary care-giver and a small number of other regular care-givers, and day-care tends to not allow for this.

Things get much worse, however, when the staff of the day-care is either too few or too neglectful, as human contact and interaction is so important for early development.

It is possible that we could create a sufficient facsimile of a human to allow for automated care of a child that would fulfill these needs, but there is a creep factor in that, and there remains the question of how one would ethically test the efficacy of such a system.

And who takes care of the kids in the day care, robots?

I'm horrified by a economic systems that works out to requiring that, yeah. Aren't you?