I can only speak for me but as far as I know it has never come up in discussion. But then again SAHDs are more prevalent here so many dads have male "support" when they are home with kids.
The only time I have heard discussions about men and women being alone in rooms it has been in the education context. My male colleague is very careful to not be alone with female students, making sure the door is always open etc if he does have to be alone with someone, whereas I as a female teacher has more leeway in being alone with students, although I try to limit that (one reason I'm glad that our break out rooms have glass doors)