The issue of tampered wallets and children's inheritance is an understandable concern, but there are some steps that could be taken to ensure funds are only accessible by rightful owners. For example, an authentication procedure may be required to access funds from an inactive wallet or even provide for the creation of a special fund for such cases.
The authentication procedure is the recovery phrase. Inheritance would be passed down the line through the recovery phrase regardless of a system of recycling for lost coins.
The verification of activity, or "confirmation of aliveness", is any sender transaction. Wallet activity would happen regardless of the recycling system.
Extreme holders, or people who have lost access to their wallets, have 131 years to perform a simple active transaction to declare the wallets as alive. This system ensures that the law of conservation of energy is upheld and no energy/money/effort is permanently lost.
To explain this using a human metaphor, both breathing and transacting are forms of exchange with a system. Each breath in the human body resets the death clock, and if breathing ceases for a certain period, brain death can occur, leading to the body's recycling back into the system. Bitcoin wallets are more efficient than human bodies and can remain without transactions for longer. However, just like human bodies, wallets should also be able to die, especially when money is primarily for the benefit of the entire system, rather than the specific single owner.