Well, finite writes isn't a major factor in storage.. since storage is something you typically write once and then read over and over later (like installing games or storing video/picture data.
The read errors on SSD are typically very, very low. Mean Time Between Failures are theoretically somewhere in the 100+ years range, and the actual real world rate of failure on SSD is very low (Intel's drives are reported at 0.5% a year, which is decades of fairly safe storage). Standard plated HDD can have a fairly low rate as well, but getting into the 2 TB storage range it gets pretty high (over 9% on one of Western Digital's drives, that's only 10 years before you are almost guaranteed a failed drive).
Yeah, SSD isn't "perfect" and "immune to failure", but it's got a better chance at living long enough that you'll want to have newer technology than some of the other drives out there. Especially the big storage drives.
Edit: Oh, also.. most flash SSDs that are built today have write times measured in decades. Personally for me, if it lasts longer than 10 years, it'll likely be replaced by new technology anyways, or it was something I don't need anymore.
When I think back to 10 years ago, there's very little data that I still need from back then. On a business scale, maybe it's not as good. But on a personal level, I'll likely not run into problems with writes or reads, as long as the drive is dependable itself.
