Several things in this FAQ are frequently contradicted, which I'm not sure what to make of.
They are not wrong, but also not right in all scenarios. Truth very much depends on the reactor design. Thorium is often associated with Gen4 reactors which are responsible for the claims of superior safety. Not much, but some of the safety benefit comes from thorium. Similar for the claim of less waste: Some reactors have better neutron economy, burning their own waste down to more shortlived and therefore "better"…
This turns out not to be true in practice. Uranium-238 is fertile just like Thorium-232. To run a reactor off either of these fertile fuels requires breeder reactor technology, which involves chemical separations and exotic fluids. In practice, this has always been more expensive, even though the U-238 or Th-232 is not enriched. It turns out that breeder reactor infrastructure outweighs the cost reduction in not having to enrich.
In fact, this is the primary reason that we don't have any breeder reactors today: it's simply cheaper to mine and enrich uranium than to reprocess. There are political reasons as well, but the primary reason is this economics.