Canon seems to imply that living horcrux anchors can be killed normally to destroy the horcrux

Canon gave us an example of two living horcruxes (Nagini and Harry Potter), and for the former the same sword of Gryffindor that had been used to destroy other horcruxes was used, while for the latter the weird stipulation that Voldemort had to kill Harry Potter himself was added.

The latter especially didn't make much sense... But either way I suggest we not be too sure of what is required to kill a living Horcrux in HPMoR.