We just got a pool recently (salt-water chlorinator), and the advise out there on how to maintain one is just utter superficial garbage. I'd never heard your statement before, and I thought the shocking was just to keep the right level of chlorine. Seems like all the advice is heavily biased towards just getting your local pool shop to tell you what you need to add!
Your comment on ozone made me do some quick searching, and [0] suggests to me that I should also run my pool pump for longer at lower RPM. I'm interested too in how I can minimise the cost of running the pool, which that will help with.
[0] https://aquamagazine.com/service/ozone-and-uv-systems-allow-...