If they work for different companies why is the set up only one parent at a time take it.
I think would really help with discrimination in the job market as well. Men taking it at same time as women would imo dilute the situation where it’s majority women who take it for imo pretty fair reasons and jobs avoiding employing women of a certain age due to concerns around them taking it (I have actually been asked in an interview whether I have any plans for the near future as we really need someone here after the current girl went and got pregnant. Sure I didn’t take the job but I’m not alone in that experience.
I also think it would just be bloody great if you could both have it off at same time if there’s two of you.