OK, now I'm confused.
I assumed that by transgenerationally you meant inheritance through a germ line as seen in multicellular organism, and maybe arguably some wierdo unicellular ones, and that by cell lineage you meant just that, a lineage of cells descended from one or a group of progenitor cells and inheriting the genetic and possibly epigenetic character of those progenitor cells.
But now you are going to a
completely different field of molecular biology and discussing cell/cell communication and signal transduction.
This has absoloutely nothing to do with the transgenerational transmission of genetic information. If you think it does then we really require a rationale beyond your assumptions based on the descriptions you've read.
TTFN,
WK