If you can't recognize the difference, you aren't talking with or listening to enough women in your circle about this sort of thing. I would highly encourage you to do so.
Regardless, the parent is not saying that men don't also experience the fear of violence.
The parent said "do you know?" Implying that as a male I had zero knowledge of what it's like to feel that way. Which implies that I have never felt that way. Which implies that whenever I'm in a situation that makes a woman feel that way, it doesn't make me feel that way.
I'm sorry but it does. So,yes I do know.
Is it worse for women? My assumption is at least 2x ~ 3x. The difference being when I walk past a shadowy figure in the street I mutter to myself "please don't kill me" while they think "OMG, please please please don't kill me".
The vectors point in exactly the same direction. The magnitude is what's different.
The original comment implied the vectors didn't even point in the same direction or had zero magnitude for men.
It's best you ask some women you know in person (female colleagues at work, female friends of your friends, your sister(s), your mom), and listen to them in earnest.
You may make some female friends this way. Men who listen to women, who truly listen, are rare.
Regardless, the parent is not saying that men don't also experience the fear of violence.