It's important to note that while this is technically true, it's mostly irrelevant. Sure, there's no material that will remain radioactive for the next 10k years, but instead you get much more highly radioactive material that will emit high doses for a "short" hundred years or so.
It's worth noting that the last 2 generations of fission plants were guaranteed to produce no waste, to be cheap, efficient, reliable etc. The unpalatable truth here is that we have no idea what fusion power will look like until we have built a few. The quoted section made me laugh as it's easy to be zero carbon when you don't actually exist... :)
It's important to note that while this is technically true, it's mostly irrelevant. Sure, there's no material that will remain radioactive for the next 10k years, but instead you get much more highly radioactive material that will emit high doses for a "short" hundred years or so.