For young women who have no children, the "risk" (from the employer's perspective) of pregnancy and motherhood is another large factor.
Remote working hugely serves to balance the possibility of everyone regardless of gender and nationality to access the jobs that best fit their talent and work ethic. I'll be very very interested to see what happens to traditional gender and nationality roles once it's fully entrenched.
The "has family" checkbox isn't so much a sexist thing, I believe. A woman with children is also much less likely to just pack her bag and move to India on her search for enlightenment, she has more things tying her down, making her more predictable. If you want a long term employee, you'll pick a woman with children over a single man without children, all other things being equal.
Remote working might have an impact there. But if you believe that there are hidden biases holding some people back, they won't just go away, and remote working isn't going to change that, unless you completely anonymize any communication between the employees and the company. Would be a fun experiment, but I don't know how practical it is.