Parental control on apple tv plus

Hi, I was the default user for our Apple TV A2169 64GB connected to our tv at home, and I frequently used to purchase movies. In order for my child not to be able to see my movie purchases which were sometimes rated above his age, I removed myself as the default user and signed my child as the default user in Apple TV A2169 64GB . (My child already has got a an apple ID and uses a couple of devices, e.g. iPhone and MacBook, with parental control active on them).

However, to my surprise, when my child goes to purchases in library, and then "family sharing", he can choose myself and see all the movie purchases even the ones rated above his age limit. This is not the case when he goes to his "apple tv app" on his other devices, and only the movies that I purchased and are within his age limit are showing up.

Could you please let me know how I can have more restrictions on Apple TV A2169 64GB for my child? I think probably, the age limit restrictions are not getting applied for family sharing in Apple TV A2169 64GB in the same way that they get applied on "apple tv app" in other devices.

Thank you