I'm glad you asked that question nicely. I understand why the term "man up" is frowned upon judging by the way society has used it to build toxic masculinity.

When it comes to dating and courtship, I do believe certain roles are better left to the men like asking a woman out. It's not just about social expectations or reinforcing patriarchy.

Biologically, men are created to be less emotional than women. While women are more compassionate than men. The hormones regulating human emotions act differently in men than in women.

I touched this subject in different posts. You can read them below.

https://medium.com/hello-love/what-happens-when-women-chase-after-men-827c0c83eec4

https://medium.com/mystic-minds/the-man-should-love-the-woman-more-c1e3878f5c93

Men have higher testosterone which boost their confidence and emotional resistance giving them an advantage in accepting rejection than women.

https://medium.com/illumination/does-testosterone-make-you-weak-and-insecure-999741daaa0f

And the same testosterone is also why men are more egoistic and will feel humiliated when women take their role.

Despite gender equality movement, majority of men still want to be the ones asking the woman out. But when you are meeting someone for the first time, you don't know which side of the cultural spectrum they are on. One wrong move can hurt a man’s ego for live. This is why I say men are better being the chasers than women.