In reality, spent fuel rods are piling up next to the reactors they were spent in. At best they are moved to mid-term storage location, at worst the long term s

In reality, spent fuel rods are piling up next to the reactors they were spent in. At best they are moved to mid-term storage location, at worst the long term storage is failing. So, yes, there is some reprocessing going on. But it's obviously not even remotely on the scale which is needed to solve the issue.