That 700m cube is still, in other words, ten thousand 30m cubes. Even accounting for spacing things out, that's on the order of magnitude of a large city. A single city made of high-level waste, in exchange for running 100% of today's energy needs on nuclear for thousand of years[0]. That's, again, not much relative to all the other kinds of waste we're creating. And in reality, it would be a city made of fuel for a different type of reactors.
There's a few times more of mid-level waste, which is another thing potentially worth caring about. Rest of the waste is considered low-level and is either buried or enters regular waste management pipeline.
I'm not saying nuclear waste is not a problem, just that it isn't particularly special compared to other types of highly toxic industrial waste. There's not much of it by volume, unlike most other waste it actually becomes less dangerous with time, and there are ways to put it to use that are blocked pretty much only by people saying nuclear waste is a big issue.
--
[0] - Or, eyeballing the doubling time of 2.5% growth rate, something like 150 years of 100% energy at current energy use growth.