  We show the equivalence of several different tests of the Jacobi identity for
celestial currents at tree level, in particular finding a simple, practical
condition on hard momentum space 4-point amplitudes in any EFT. Along the way
we clarify the role of the order of soft and collinear limits in obstructing
Jacobi for soft insertions and we argue that, despite their
current-algebra-like properties, soft insertions as formulated in this paper
cannot be interpreted as local operators in celestial conformal field theory.
