I was thinking about the fact that Middle-Eastern and Indian royalty back in the days would have what is called a harem. Jasmine's dad as far as we know doesn't have one. If Jasmine's dad had one it would be very likely she would have had shared living quarters with her steps and half-sisters and maybe aunts.
I think if jasmin had grown up in a harem she would been complete different and be 1)competitive and 2)she would also be Vigilant due to the number of X times she had been poison-if on purpose ou par accident par the steps.
of course there's the fact Jafar could somehow 'use' her steps to get closer to her. So maybe that's one of the reasons why they didn't have a harem.