Please do not be obsessed with social validation. What matters is real time.

Does she invite you along when she is with some of her closest friends. If she does, it's a positive sign. Does she talk about her family in front of you. 6 months? Don't know your race; Deepavalli has passed, CNY has passed and Hari Raya is around the corner. If there is/was no invite to her family house during these occasions, it's something to be said. Have you brought her to see you family? Bring her out with your closest friends? Please don't tell me 6 months is for self-discovery and there has been no gathering between friends on both side of the divide.

I'd say if the above are done, then forget social. But if you're invisible to her social life, then you have indeed failed. Social media is just a persona, an image one wants to be portrayed.