Only for write operations. Reads are effectively free, and cached files are invariably predominantly read heavy.
Even then, the wear effects of writes on SSDs are exaggerated. Improvements in the technology and wear leveling have made them roughly as reliable as spinning disk.
For a phone, the storage is expected to remain viable beyond the expected usage lifetime of the device. It doesn't really matter if caching wears storage a little faster if the device is inoperable before it's a problem.