There is a concerted effort to decouple the word woman from their biology.
Cervix havers, menstruators, birthing bodies, etc. And the truly inhumane rewording of FGM to mean forced genital mutilation, instantly erasing the sex to whom it happens.
Which only makes sense if you don't want sex to be biologically determined, but to be a matter of the way one thinks or feels. Irrespective of anatomy.
To make the word woman mean any sex, but someone who thinks in a certain way, relies entirely on detaching female biology from the word woman. (And replacing it with gender stereotypes.)
Therefore, women will not be oppressed or subject to sexism, on the basis of their biology. Because there are other women, the nonbiological kind, who simply do not suffer from it.
So sexism, based on sex, disappears.
Women will, of course, still be subject to sexism, as a uterus haver, a menstruator, pregnant person, victim of FGM, but there will be no one word linking all that together to describe them. No concept there is a cohort, considered 'lesser than' which needs representation.
In this case, the HoL used mother, not woman. It's interesting that many said they wanted to use the word woman, but perhaps found mother to be a suitable compromise which did not detract from women's rights.
But, there is no doubt, that the word mother is still comprehensively attached to biology.
The HoL were, however fully aware that the word woman is being erased.
Several referenced Freddie McConnell, the transman, who wants the term father to be equally detached from any biological meaning.
Fortunately, there is now no going back to the era of 'no debate'.