This is not accurate. All modern data centers are moving to SSDs for database storage. Amazon now has SSD backed storage for their database server instances.
Perhaps you’re thinking about SSDs from five years ago, where the cheaper brands would lose existing data while trying to do garbage collection? That doesn’t happen anymore.
It is true that an SSD may lose the contents of the write buffer if power goes out. The same is true of a hard disk! Specifically, a hard disk has a “track buffer” that it uses for reading a track, making a modification, and writing a track back out. Modern file systems (and databases,) including NTFS used by Windows, use write logging to stay consistent even in the case of power failure.