Anandi knows very well that she is part of the family because Dsa and Singhs consider her as part of family and they loved her just as much as they love Jagya and Suguna.
Dsa and Singhs consider Anandi as their beti.But they did not ever try to seperate Anandi from her parents or did not claim to have more rights over her than Khazan and Bhago as well as Shekhars.
Isn't Ganga so happy to see a girl child wandering around the house?
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If Anandi is considered by Singhs as Ghar ki beti then so will be Nandini.
Dsa calls Daddu and Shekhars as Samdhans then what does that make Anandi ?
Haweli ki beti.
Anandi's rishta with Singhs happened with the approval of every one who are important in Anandi's life be it her parents later on Shiv and then Shekhars.
The same cannot be said about Nandini and Jhalra wasis.
Akheraj and Harki never considered their beendini as beti nor did Mangala adopt her nor did she give her mother's love or care not now or before this.