> My question is what exactly should I do "to continuously monitor the hard disk status"?
> As I mentioned I receive daily status reports by email and I therefore do have a regular reminder in this sense about the hard disk status.
This is exactly what you can/should do: to keep an eye on the device by Hard Disk Sentinel, to be notified about possible changes, degradations.
While generally the health of SSDs degrade with time (caused by the writes)
( https://www.hdsentinel.com/kb/category/16/solid-state-drives-ssds/why-my-ssd-shows-98-health-if-no-problems-reported.html )
but if this happens too frequently, then it may indicate that there is something in the system which performs excessive writes, causing that your SSD may fail (or just reach the end of its life) sooner.