No, they are being refused permission to tell their parents. If you want to spin it like it sounds as if the school is the instigator then you be you.
As in discussing a student's problems with them one on one? Yes, they do. Is the school 'hiding that'? They are being told, in some cases, that the pupil wants to keep the discussions private. As regards Australia, all students in all schools have access to a school councillor. From here:
School counselling service
School counselling staff support students by providing a psychological counselling, assessment and intervention service.
The school counselling service works directly with students to help them with issues related to learning, peer and family relationships, and managing emotions such as depression, anxiety, worry or isolation.
The school counselling service includes school counsellors and school psychologists. Our school counselling staff are highly skilled and play a crucial role, in supporting children and young people to thrive and succeed at school, making a real difference in the lives of children and young people.
The NSW Department of Education currently employs over 1,200 school counselling staff working across all public schools from Pre-School to Year 12 across a diverse range of school settings in metropolitan, regional, rural and remote areas of New South Wales.
Every student has access to a school counsellor or a school psychologist.
I'm not sure that you guys have the same amount of access in your system, but you do have it. You should start a thread about it the need for more.