I'm not talking about it as itself as itself. As a viable "hot" fuel. smh
Well, that's not what you said. And I still think you're mistaken.
U233, half-life 160k years. I don't think your generation ship is going to take a hundredth of that to get to the destination... so I don't know what you mean about not being a viable "hot" fuel.
The reason why the AEC rejected U233 reactor licensing is because they wanted overlap between civilian and military uranium processing and infrastructure. U233 makes lousy warheads because "poisons" in the decay chain would require frequent reprocessing of pits, and because of fast neutron problems for warhead design.
With Th232 as the latent fuel source, U233 spends little time outside the reactor that would build up poisons, and the poisons that build up in LFTR either precipitate/gas out or are easily removed from the liquid fuel or from the cooled salt.
All other designs that use solid fuel (pellets in rods, or in capsules for pellet beds) have poison problems. A conventional reactor has to reprocess fuel after as little as 1% of the fissionable material has be used. With LFTR, it is the reverse. Almost all the fissionable material can be used up before drawing off the fuel mix to process out the decay or fission products.
In a generation ship, the productivity doesn't really matter for Th. It is so plentiful the used fuel can be set aside for a few weeks to allow Th233 to become U233, the U233 can be extracted as a UF6 gas, and the rest simply ejected.