Many radioactive products are either very short lived, and will decay down to minimal levels within a few hundred years, or are very long lived, causing very low radioactivity.
The problem are the elements that are in between which is mostly the other actinides. Those are the ones that would require tens of thousands of years or more to reach safe activity levels. Fast reactor designs don't have significant amounts of such elements in the waste. The waste will decay to uranium ore-ore like levels within only hundreds of years.
The biggest issue is that they need relatively enriched uranium to operate at first. After they are started, they can be used as a breeder reactor that can take in natural uranium and convert it to the enriched uranium it needs to continue running.
Edward Teller in 1967 famously expressed his skepticism about fast reactors because of this safety issue.
Chernobyl happened for a very specific reason - you know, the late-night tests and the positive void coefficient. Do you think we haven't learned? Please cite sources. The thing is, we have learned. That's why reactors are so expensive. You're double-dipping by citing the risks and the costs. It's really one or the other if you're not being disingenuous.
Hundreds of years is not acceptable. Humanity is not able to handle projects spanning hundreds of years time. Look at the Zaporizhia atomic energy site for an extreme example of what I mean.
The problem is not just the time scale either. There are other areas humanity fails at time and again.
P.S. Thank you nevertheless for pointing out several advantages of fast breeder reactors.
There's plenty of buildings that took centuries to make, this projects are comparatively simple/require less coordination once started.
Not necessarily in the Australian outback, Yucca Mountain is a great choice. [2] [edit](That area is adjacent to the Nevada Test Site which is already some of the most radioactive land on earth).
What greed exactly are you talking about? I've no financial interest in the success of nuclear power. I recognize it's more expensive than some competing options but it's a better solution.
As for hubris, again, you're not exactly coming to the table with data on the risks, especially since we've got 80 years of experience with nuclear power.
[1] https://en.wikipedia.org/wiki/Fast-neutron_reactor
[2] https://en.wikipedia.org/wiki/Yucca_Mountain_nuclear_waste_r...
[3] https://en.wikipedia.org/wiki/Long-term_nuclear_waste_warnin...