The phrasing of that is a bit odd, so in case anybody is unclear on this, I'd like to note that it's common practice for spent fuel to be kept in a cooling pool

The phrasing of that is a bit odd, so in case anybody is unclear on this, I'd like to note that it's common practice for spent fuel to be kept in a cooling pool for 10-20 years while the more radioactive isotopes decay away, then moved to dry cask storage (or recycling, in countries like France). However, there are designs which would keep the fuel underwater for longer periods of time, like the B&W mPower modular reactor, which has a cooling pool in the containment structure with enough capacity to hold all waste generated during the 60-year design lifetime. All this is, of course, figured into the per-kilowatt-hour death rate when it actually hurts someone. The spent fuel pools are considered part of the plant for the purposes of risk assessment. In normal operation, of course, the spent fuel pool keeps the radioactivity nicely contained and doesn't hurt anyone.