The main difference between this scheme and propotional division becomes apparent if the heirs discover another 100 hidden in a cupboard after the initial distribution has been decided on. Should they start a new round or should they distribute it as if they had known about it from the start? With a porportional distribution scheme, the outcome is the same, with the talmudic scheme, the outcomes might differ and you have to decide which one is more consistent or just.
So both schemes give a consistent allocation of assets in simple cases, but proportional distribution is far easier to generalize to consistent allocations in complex situations.