  In spirit of Gan-Ichino's work on the Arthur's multiplicity formula for
metaplectic groups, we have established the Arthur's multiplicity formula for
even orthogonal or unitary groups with Witt index less than or equal to one. In
that multiplicity formula, some local packets defined using the stable range
theta lifts are involved. In this paper, we prove that at non-Archimedean
places, the definition of the local packets involved in that multiplicity
formula is independent of the choice of the dual-pairs used in their
construction. Moreover, at those places where the groups are quasi-split, we
prove that the local packets involved are the same as the local A-packets
defined by Arthur/ Mok.
