He cares for his sister ? he has very funny way to show , he let her sister go when she was crying and did not want to go . Did he call her sister , how she was .
what he does for Jyoti is definitely not enough...but that does not make his care any less genuine...he just tries to remain out of it...becoz he idolizes his baba...and if NA wants Shlok to let it happen...he just lets it happen...believing that NA is there to take care.. this is my POV for Shloks stand about Jyotis situation..remember he once asked Aastha to stay away from his family matters...coz he himself maintains a distance