(1) What mission/purpose could possibly require a ringworld?
It sort of fits in Niven's setting. You've got virtually immortal, hyper-intelligent, uber-paranoid Pak Protectors solely focused on protecting/growing their bloodlines. They have neither FTL drives or "radio" so everything they want to protect needs to be "close".
They've put all their eggs in one very big basket because, in their hubris, they believe they'll always be around to protect those eggs.
In a setting with FTL, however, ringworlds make damn little sense.
You're one maghiz away from annihilating trillions of people...
Oddly enough...
(2) The ringworld at Leenitakot is unfinished, but its existence and its extreme age proves that its technology is there and functional, right?
I never liked that mention of an "unfinished" ringworld in
Challenge magazine's Hinterworlds Sector material. It was very poorly thought out on several levels.
Sure it's unfinished, but I had a thought tonight: it's not the atmosphere, land, water, and environment that's important about a ringworld. Rather, it's the technology along the rim. Therefore, Leenitakot could be extremely valuable and important.
And that's one of the main reasons the Leenitakot ringworld idea seemingly wasn't even slightly examined before being crammed into canon. The technology required to build a ringworld - whether it's unfinished or not - is so far in advance of "everyday" technology in the
OTU that Leenitakot should be a primary target of any race, state, empire, etc. with the ability to travel there.
And yet a relatively tiny Minor Race pocket empire operating at a TL C, the Outcasts of the Whispering Sky, somehow keep even the Major Races at bay and prevent any expeditions to Leenitakot.
Depending on the era, there
should be a Hiver, Solomani, Confederation, Ral Rankan, or Imperial
fleet squatting in Leenitakot while thousands of scientists earn their pay, but instead a few hundred million, single eyed, schmoos somehow keep all the Major Races away.
Fixing Leenitakot might be something
T5SS should look at. It's just as bad as all the nonsensical UWP and other stellar data that project is correcting.