There are no equivalencies. All commissioned officers outrank all warrant officers, just as all warrant officers outrank all noncommissioned officers. That said, a 2nd lieutenant would be pretty silly to fail to show deference and respect to a chief warrant officer (or a senior NCO), and would risk being deftly cut-down and embarrassed in front of the troops, and/or reported (officially or informally) to his senior commander. And he wouldn't be likely to repeat his mistake.

Isn't W0-4 equivalent to Major? Wouldn't he outrank a Captain 0-3?
Oderint Dum Metuant

Ah, yes - quite right. I see in one of the photos that he wears the rank insignia of, I believe, a 1st sergeant (E-8).

But at the time he was disguised as a sergeant.

He wasn't a big, hulking enlisted man; he was a big, hulking chief warrant officer. As a captain, she was a commissioned officer. Hence, they were both officers - roughly equivalent in social standing, though the captain outranked the chief warrant officer.

I was in the Marines and there were some nice officers willing to stop and help a fellow Marine in need, regardless of gender. It was just Marines taking care of Marines.
"All we have to decide is what to do with the time that is given to us." -Gandalf the Grey

I dont think it was a lack of knowledge as much as it was a lack of having a tire iron.
One day, someone's gotta make a stand. Someday, someone's got to say enough.

I was an enlisted man and if an officer wanted to change my car's tire I wouldn't have argued with her.
Remember, he was so clueless (or ill equipped if you prefer) he was trying to remove the lug nuts with a pair of pliers.

I guess the movie's message was lost on you.