The answer is "No Applicable Effect." Medium plain text files every 10 minutes shouldn't stress a drive, since they're designed to be read from and written to on the scale of milliseconds. So either strategy should work, and not pose a higher risk of failure than the other. In addition, while small to medium files would benefit from read/write caching (as drives most efficiently read and write in blocks or sectors, not bit by bit), this is usually only a concern if many files per second are read or written. A 10-minute interval would not be impacted.
Drives that spin constantly in a consistent environment survive longer than drives that are exposed to temperature changes or ones that are spun down, then back up again, repeatedly. This means that leaving your system running is better for the drives than powering it off every day.
Caveat: Early Solid State Drives (SSD's) had a reduced Mean Time Between Failures (MTBF) when files were repeatedly erased and rewritten, because of the way files are erased from flash memory 'drives'. There were also risks of capacity reduction of these drives, if the storage used was not properly freed up. However, most modern SSD's have had these issues corrected, or at least lessened. They are also much faster to read from than mechanical drives, which make them popular as OS or application drives.