error correction term

[diggetybo]

My other posts were very lengthy and may have discouraged people from reading, I will keep this one short and to the point in hopes of getting a reply or two.

If I estimate a ECM and obtain the long run dynamics from the lagged residual, call this ESTIMATE A, would it be logical to save and try to use that lagged residual as part of an entirely different equation, call this ESTIMATE B, with a different dependent variable in hopes of seeing how the long run equilibrium term (lagged residual) of ESTIMATE A explains the variance of the dependent variable of ESTIMATE B? Or is this self-defeating in that the long run dynamics of the error correction term are lost because it's not the same equation?

If I understood the underlying proof of the model, I could probably answer it myself, alas I'm not that smart.

Thanks for reading