Isn't there likely a large epigenetic component?
For multi-cellular organisms "epigenetic" effects carry cell type state from lesser differentiated cell type parent to identical or higher differentiated cell type children cells in the same individual. For example A->B+C where A,B,C are distinct cell types, or A->A+B, etc.
You can't just copy paste the "individual level" concept of "epigenetic effects" from single-celled organisms to multicellular organisms. Yes epigenetic state transfer exists in multicellular organisms but it still carries it from parent cell to child cell, not from multicellular parent individual to multicellular child individual thats just brainfart.
There's a ton of extravagant claims and overly credulous reception driven in part by powerful cultural narratives. AFAIU, epigenetics in the popular discourse has different connotations then for most scientists. And when a scientist says epigentic processes are beyond dispute--because many of them are clearly established as key to some basic developmental processes--the lay person takes this as validation of, e.g., epigenetically inherited intergenerational trauma. But there's tremendous distance between those two extremes, both semantically and physically.