The published version of the Cheng and Van Ness paper that you are interested in can be found here:
CHENG, CHILUN et VAN NESS, JOHN W. Errors-in-Variables Regression. In : Statistical Analysis of Measurement Error Models and Applications: Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held June 10-16, 1989, with Support from the National Science Foundation and the US Army Research Office. American Mathematical Soc., 1990. p. 227. *
They state in page 2:
"Note that if the primary purpose of the modeling is to predict the unobserved y form the unobserved X, then orthogonal regression might not prove useful. (See the Appendix and, for example, the discussion in Fuller (1987), Section 1.6.3.)"
And you are interested by the Appendix: "Prediction for Errors-in-Variables Data", that shows through much computations that:
"Under general conditions, ordinary regressions will provide at least as good prediction models as orthgonal regressions for the errors-in-variables model."