EVERYBODY... has a stake. The resulting birth/non-birth resonates far beyond the initial nine months. And I don't see anyone advocating that women take all the responsibility (i.e. leaving men off the hook in all matters) in exchange for all the 'control' after the kid is born.
Disclaimer: I answered in spite of the use of the word "control" in the title/original post. As far as I am concerned, "control" is (intentionally?) misleading.