The results of the large national longitudinal study of child care indicate that

The results of the large national longitudinal study of child care indicate that: The influence of families and parenting is not weakened by extensive use of day care.
The study argued that even if the parents choose not to use daycare and fully available for their kids 24/7, they wouldn't technically be together with the kids all the time because it is very likely that they have other things to do at home and let the kids play alone. So, the usage of daycare pretty much won't affect the family relationship and it even help the kids with their social interraction