It is about the door ,there is no metaphor. What is missed is culture. The Western culture has codes of conduct. those codes came down from hundreds if not thousands of years.
Now it’s a no win situation for men. Offer to open the door ,he’s sexist ,do not offer the door and he’s sexist. Rather than the first one opens for the other, unless the 1st is carrying packages etc.
You had a choice. You could have opened the other set. You did that to your self. The person you think is giving you commands is you. That soundtrack of little prejudices comes from within.
Respect is earned.
Power is taken. The power was yours all along.