On one hand, it is pro-natalist, so that makes it right-wing.
On the other hand it is (ostensibly?) feminist, relieving a burden on women, so that makes it left-wing.
It also could be construed as trying to “equalize family,” which would be left-wing or even communist.
Under another reading, it is about “corporate babies,” which pushes it a back into the right-wing camp.
From yet another perspective, no one really thinks it will happen, at least not soon. So the symbolic message for the world of today is “Women are not that important and they could be replaced by machines.” Maybe neither the right-wing nor the left-wing like that message (albeit for different reasons), but it has a tinge of “someday this differential burden will be gone and then you left-wing feminists will need to stop whining.”
Which puts it back a bit into the right-wing camp.
So which is it?