Key points are not available for this paper at this time.
Edward E. Rigdon, Carl E. Ferguson, Jr., The Performance of the Polychoric Correlation Coefficient and Selected Fitting Functions in Confirmatory Factor Analysis with Ordinal Data, Journal of Marketing Research, Vol. 28, No. 4 (Nov., 1991), pp. 491-497
Rigdon et al. (Fri,) studied this question.