Sai's suicide attempt was an impulsive reaction in extreme grief. Its not a sign of weakness. I have personally have always struggled with understanding why people think suicide is an answer and have even thought that "its a cowardly and easy way out". But with time i know now that its a very sensitive issue and not something can be just brushed off so callously as some people do.
Sai's father would definitely not "endorse" her suicide attempt because he would want to see her overcome her grief and focus on achieving her dreams. But that is not the same as saying he would be "ashamed" of her. Because her decision to commit suicide was NOT a shameful decision but one taken out of extreme grief. All she wanted to do was to join her father by taking her own life.
At 18-19 years of age when she loses her father to an untimely death, its a lot to go through. And its worse when that person is literally all you have. Sai has no extended family. She has no financial security either. She was literally LOST. In one moment her whole life turned on its head. It wasn't like her father was ill and she had time to prepare herself. They were supposed to be moving to nagpur to begin a new life and suddenly he is just GONE.
Infact I wish makers had given us more of seeingjust how Sai dealt with hwr fathers death with more tehraav.
In KD they show imon attempt suicide again when she is so hurt by rono alleging that shes having an affair. That is something i hope they NEVER show on ghkpm. Because Sai maybe hurt by people's baseless allegations but would not consider suicide for such things. Infact if they ever show something like that where virat or family accuses her of infidelity, she should just walk out with her head held high.