Maybe I am reading this wrong but Anosanim seem to imply that the Parikes social success and influence is largely a result of there connection to the royal family.
Honestly, I think you're reading it wrong. Here's your quote:
Ch.126.12:
This area of town was peppered with the homes of members of the Parike family, one of the wealthiest families in the country....
They’d married into the royal family several generations back. Then again, in Orina Anoris, whose family hadn’t? Anosanim’s memories included building a carriage as a gift for a Parike who’d married, ah, the royal high judge at the time. The "
whose family hadn't?" means that the Parike family's "social success and influence" does not stem from simply marrying into the royal family, or else everyone else who'd married into the royal family would automatically become as influential as the Parikes, which I don't think is the case.
"
Whose family hadn't?", if instant social success/wealth for the entire family was the result of marrying a Sibling, would mean that all of those families would be as equally influential as the Parikes, which would mean that eventually
everyone would be equally wealthy/influential, which means
no one would be wealthier/more influential than anyone else--which means the Parikes would be just like every other family. But they're not--they're one of the wealthiest in the country.
The fact that they're one of the wealthiest families in the country is what gives them influence and social success. Not a marriage from generations ago. (After all, the following generations of the royal family also got married to commoners--I highly, highly doubt that every single royal marriage resulted in a new reputation as "one of the wealthiest families" in the country.)
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As to whether Hitari's family is going to try to take advantage of their new connections...well, that's a really good question.
I don't think marrying into the Seven Siblings = instant wealth for your entire family, so I don't think they can suddenly start showing up at a Parike ball or soiree. However, you bring up a good point, that maybe Hitari's family will try to do some social climbing, and try to rub elbows with the rich and influential.
I think they might try, but that it would only be doomed to failure, because of the fact that Hamaki Samora's husband was caught embezzling (he was quietly fired, because his boss didn't want to press charges, but he also told everyone he knew what happened so that Hamaki's husband had a hard time finding a job)
[Stain on Reputation #1] and their bad connections to Hitari Samora's father, Horimo (life-time in prison, stole a TON of money from everyone he ever met)
[Stain on Reputation #2].
Word gets around, and Horimo's trial was public. Hitari might be in people's good graces now, but only because they see how much Talin loves him. It doesn't mean his whole family, with their own mistakes, will get a pardon (in my opinion).
- Jae