Yep, I was raised by Asian parents with those expectations too. When I was younger, my mother outright told me that, when dating, the woman should be served by the man, but after marriage, the woman should serve the man for the rest of her life. This was the way both my parents approached dating and marriage.
At the time, I smiled and said nothing. But I thought to myself, "Fuck that," and decided to do things my own way.
My parents stayed married for 31 years, but ended up with three daughters who all had their own careers, their own money, and had romantic relationships that confounded their gender role expectations.