  The recent introduction of a boundary stress tensor for asymptotically flat
spacetimes enabled a new construction of energy, momentum, and Lorentz charges.
These charges are known to generate the asymptotic symmetries of the theory,
but their explicit formulas are not identical to previous constructions in the
literature. This paper corrects an earlier comparison with other approaches,
including terms in the definition of the stress tensor charges that were
previously overlooked. We show that these terms either vanish identically (for
d > 4) or take a form that does not contribute to the conserved charges (for
d=4). This verifies the earlier claim that boundary stress tensor methods for
asymptotically flat spacetimes yield the same conserved charges as other
approaches. We also derive some additional connections between the boundary
stress tensor and the electric part of the Weyl tensor.
