Unrecoverable read errors happen. RAID5 protects against one, which is great. However, suppose you lose an entire drive. It happens. You now have no redundancy. You go to rebuild the array and, lo and behold, you get another unrecoverable read error on another drive. It happens amazingly often, and, as you point out the frequency that it happens at is essentially a function of the amount of data you have, not the number of drives you have. Hence, with modern really high capacity drives, you're more likely to have it happen than you were on the old 320GB things. The thing is, you've probably got a lot of infrequently accessed data. You may not notice that there's an unreadable sector on the drive until you go to do a full rebuild due to that failed drive.
RAID6 gives you a second layer of redundancy so that you can actually have a really good chance at a successful rebuild.
You can also routinely "scrub" a RAID5 array to try and find those errors while you still have the N+1 redundancy from the parity available, but that has pretty nasty overhead. If you've got a lot of downtime on your server, it can be OK. If it's a 24/7 active server, it can be a real problem. I do this on my 2-element RAID 1 arrays since there's a similar problem. The IO hit during the scrub sucks bigtime, but it's acceptable in most of my situations, and the tradeoff of going to a 3 element RAID1 or 4 element level 1+0 or 6 could not be justified.
And yes, I'm well aware of the extra "unused" capacity set aside on SSDs for wear leveling. I've done a fair bit of work with bare MTD devices on Linux going back to the early days of JFFS2 before NAND was popular. Even if you do "wear out" the flash (which is amazingly hard to do except in pathological cases), it "should" fail read-only. Sadly, controller bugs, seem to cause...other modes of failure most of the time, and seemingly well before erase cycle limitations have probably been reached, in most cases, assuming proper wear leveling.
As to your 60PB system, they're probably doing things well beyond simple RAID to make that work.