Arthur, although merely the "underutilized" youngest son of Councilman Williams, wasn't indicative of Councilman Williams not liking him.
In fact, if not considering from a professional standpoint, Councilman Williams did favor his youngest son, because of his mother.
Men always seem to possess such strange and complex mentalities, especially some successful men of the Federation who desire their wives to be both their sexual partners and like their daughters.
It's not that they have such perverted sexual desires; this is just a "success" induced change.
Most male intelligent animals are like this, and it's a way to display their strength.
So, Arthur might not become the next "Councilman Williams", but no one would overly belittle him.
However, he wouldn't be given too much attention either, since he couldn't inherit the core power and wealth of the Williams family.
Out of respect for Councilman Williams, Arthur held a place in this circle.