  We consider the discrete representations of 3-manifold groups into $PU(2,1)$
that appear in the Falbel-Koseleff-Rouillier census, such that the peripheral
subgroups have cyclic unipotent holonomy. We show that two of these
representations have conjugate images, even though they represent different
3-manifold groups. This illustrates the fact that a discrete representation
$\pi_1(M)\rightarrow PU(2,1)$ with cyclic unipotent boundary holonomy is not in
general the holonomy of a spherical CR uniformization of $M$.
