  In an addendum to his seminal 1969 article J\"{o}reskog stated two sets of
conditions for rotational identification of the oblique factor solution under
utilization of fixed zero elements in the factor loadings matrix. These
condition sets, formulated under factor correlation and factor covariance
metrics, respectively, were claimed to be equivalent and to lead to global
rotational uniqueness of the factor solution. It is shown here that the
conditions for the oblique factor correlation structure need to be amended for
global rotational uniqueness, and hence, that the condition sets are not
equivalent in terms of unicity of the solution.
