Cool koi. These guys are fed pellets based on the water temperature. I fed mine once a day in the summer and less in the winter depending on temps. Imho it is far better to have active koi always on the hungry side as opposed to being over weight and lethargic. The koi should devour the food in minutes…..leftover food will just contribute to water parameter issues. And, yes….they prefer and thrive better in clean water and you will be able to see and enjoy them more.
In colder water temps, they have to be fed smaller amounts koi food of Wheat Germ. When things warm up, they get higher amounts of the Protein food. At lower temps, they simply cannot digest protein which can create health issues.
Until just this last summer, I kept my 20-25 koi in my 3,800 outside pond and in the winter they came in to my basement pond of 600g or so and some of mine are 30+ years old. Now after decades of doing that, age has caught up with me and I have to keep a few (7) in the basement pond year round and not trek around carrying tubs/bags of koi up and down in/out. In 2025 I had the outside hand-dug pond filled in (two tandem dumptruck loads of dirt) and planted more Hydrangeas there. To think….I manually dug out that much dirt back in the 90s is mind boggling

I don’t know your pool pond depth and capacity, average water temps, or food type. The depth, depending on location, is critical for two big reasons. First, shallow water warms up (sometimes dangerously so) and cools off too quickly. My outside pond was 2.5’ deep around the edges and 4’ deep in the middle which gave the koi spots to cool off in the summer. Second, predators (namely herons) can pick off koi easily in shallower water. Giving koi deep water to retreat to or cool off in is critical. Sorry……got a bit off topic with the pond, water, and predator stuff.
This chart will give you the idea of feeding based on water temps. P=protein food, WG=WheatGerm food
Note….when water temp really gets cold, do stop feeding. And when water temps get way hot, do stop feeding…..or feed early (minimal amounts) in the day before water temps get above 85 degrees and bigtime oxygenate your water.