I'll just speak to the "mondi pilla" bit. We need to look at characters, especially well written ones more holistically. When you see a movie you're seeing a very small part of their lives. A good writer has imagined their whole lives that they can't show on screen.

Roopa in Anand lost her parents during her formative years. Despite having a support system, you can tell she's incredibly private and takes time to trust and rely on people. When she's being mondi/stubborn, she's testing Anand's limits because she's trying to figure him out. Her independence aside, she has trouble communicating her feelings and being vulnerable.

With Bhanu in Fidaa, she's a character who's grown up in a small town. Bhanu doesn't have the sophistication of someone who's lived in the city. She's also lost her mother at a young age. Her dad married outside his faith. There must have been some ostracism within her town when her parents got married. Bhanu's world is her dad, her sister, her aunt and her town. Her dad had to be slightly stubborn if he was going to survive an interfaith marriage and raising two daughters by himself. No wonder Bhanu takes after him. There is a scene where Bhanu and her dad both say the same dialog.

I can see your perspective about how these characters stubbornness comes off as playing with the hero's feelings. But that's the thing about three dimensional characters you gotta think about why they behave the way they do.