This is anything even remotely like a theoretical answer:
In short the answer is "No" . According to what Norman has written so far not all women submit to the same level as a slave if at all outside of that capacity where in they find males that are worthy of submitting too.
He has the vast majority of them in his "world" as free, alltough he does portray them for the most part as never truely being happy in that capacity. (he also has portrayed male slaves in many capacities)
As they say to assume makes an ass of u and me (play on spelling and words not a personal jibe) . So too assumptions in absolutes would make for absolute assess of all of us.
He never says that the female of the species should be catagorically forced into submission.
What he does sugest is that truely dominant men never relinquish thier dominance, nor allow it to wrested from thier grasp as it appears to be in the proccess of doing here in our modern day society.