Hi kariomart,
What pretty much every Gerator does is generate all new content newly, and so does the Connect Generator. With that all things get pulled into a new object here. Without the Correction Deformer, that setup wouldn't work as I wanted. Without the complete setup, most questions are more general, and harder to answer, as they need to work "in general", meaning including all possible variations, with a more or less complex interaction of several things that is difficult to estimate.
The Correction Deformer can work with just the one Field moving along the "cube-zipper", but to ensure that the influence will not reach too deep, the other Field protects the other "half" of the plane. It is optional.
That you found a solution is great.
My best wishes for your project.