Does your ex know what your children do and where they go when they are
with you? Having Parental responsibility means each parent can unilaterally
decide what activities the children do and who they see in the parent's
contact time.
However, it isn't unreasonable for a parent to know where their children
are sleeping at night and if courts are making an order often a condition
is attached that parents inform each other where the children are
staying. The exception to that is when there is a history of the parent
interfering with contact or pestering.