  We point out that the N=4 supersymmetric KdV hierarchy, when written through
the prepotentials of the bosonic chiral and antichiral N=2 supercurrents,
exhibits a freedom related to the possibility to choose different gauges for
the prepotentials. In particular, this implies that the Lax operator for the
N=4 SKdV system and the associated realization of N=4 supersymmetry obtained in
solv-int/9802003 are reduced to the previously known ones. We give the
prepotential form of the `small' N=4 superconformal algebra, the second
hamiltonian structure algebra of the N=4 SKdV hierarchy, for two choices of
gauge.
