Yes, of course, there is a asymmetry. The shape and the material, of course. Another example is that while sperm is constantly produced, ova are all there since birth.

But this part:

> The cells which divided then, are the same cells as now

Seems quite wrong. Ova of one woman obviously contains part her DNA, not her mother's unchanged.

Now, I didn't know about the mitochondria part, interesting, thanks for teaching me!

Of course, the DNA is modified. It's a specialized cell, but cells are created by division or budding.

The sperm is absorbed, the dna integrated, but the cell itself, all of the cell aspect is from the woman.

Our DNA is certainly there, but that's not the same as a continuous line of cells.

Anyhow, it's one way to view things.