The ability to register fraser.geek so a very small number of OpenNIC users can access that new URL doesn't really solve the OP's problem with his family's long-established URLs disappearing and their emails being directed to whichever scammer buys up the fraser.name domain.

That isn't the correct problem. The 3rd level domain is going away, which can be reconqured via OpenNIC and mass re-adoption. There will surely be new problems, but owning will not be among those problems.