Yes, all family members can contribute to the experience of sharing purchased apps.
What is Family Sharing? - Apple Support says, "When you set up purchase sharing, everyone in the family gets access to the apps, music, movies, TV shows, and books that family members buy. The content automatically appears on the Purchased page in the App Store, iTunes Store, Apple Books, or Apple TV app. Some items can't be shared.
However, a family member can also hide the purchase of an item. Hide purchases from the App Store has the advice, "If you don't want to see an app in your list of purchases in the App Store, you can hide it" and "When you hide an app in your purchase list, it will no longer appear in the list of your purchases in the App Store. The app will still appear in your complete purchase history in Settings."