The advantages for an SSD are speed, not reliability.
I would expect an SSD to be MUCH more reliable than a hard drive.
SSDs are solid-state devices with no moving parts. Hard drives are mechanical devices with platters rapidly rotating at microscopic tolerances.
So now that I've declared my prior let's see if there's data... :-)
"From the data I've seen, client SSD annual failure rates under warranty tend to be around 1.5%, while HDDs are near 5%," Chien said. (where Chien is "an SSD and storage analyst with IHS's Electronics & Media division") Source
Reliability for SSDs is better than for HDD. However, they aren't so much more reliable that it alters best practices for important data keeping -- at least two backups, and one off site.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.