Eliza Doolittle really did want to be treated equally. Eliza Doolittle finally had enough mistreatment while everyone else was treated fairly except for her. She finally found the right time to come out and ask for her equality which shows that Eliza Doolittle really did want to be treated equally.
There comes a time in everyone’s life when enough is enough and action is needed. Eliza Doolittle has delayed asking for equal treatment while everyone else was treated fairly. Therefore Eliza Doolittle really does want to be treated differently and has just been silent until the right opportunity presented itself.