Yes.

I've described doing that several years back, but it was one of the ideas received poorly by various folk who were here then.

There are some downsides, and it's not for everyone. For example, dealing with algae can difficult, since with CYA = 150, controlling mustard algae can require chlorine levels above 75 ppm!

However, I'd be interested in working directly with you, since I have only limited field data on what sort of problems people might encounter using this approach. To go further, you'll need:
1. A K-2006 test kit and a Hach 562227 Phosphate Test Kit.
2. Complete test results on BOTH your pool water AND the water you fill with
3. If it's well water, we'll need to do some additional tests.
4. A description of your pool (volume, type, filter type + size, pump type + size)
5. Past issues (if any) you've had with maintaining your water. (Various pools, in various locations, some times have recurring problems due fill water, nearby bodies of water, overhanging vegetation, etc.)
6. How YOU use the pool (number of users at one time, frequency, age and water-time duration).
7. How often you have to ADD more water, and how MUCH each time.
8. Information about how much PHYSICAL debris (leaves, dust, etc) your pool accumulates in a week.
The goals would be
1. Lowered chemical costs
2. 1x per week chemical service
3. Algae free operation.
Let me know if you're interested.