I suppose to whatever extend a solar cover might sheild the chlorine from UV, I guess it will help.

But I for one am about to swear off solar covers. Our pool / house is located on a hilltop and we get a lot of wind and debris. With solar panels we can get the water to 85+ and lose a few degrees a day. But as time goes on all the little bubbles in the covers start to lose their gas. The cover does not float so well and it gets water on top. Once the water is on top the evaporation starts and we lose 5 degrees a night.

The clear one helped raise the temp faster than tinted or tinted and silvered. Next effort will be with shippers bulb wrap. Larger bubbles and half the price.

But for saving chlorine and fighting algae. I think a minimal effect. Do your topping up of chlorine after the sun is off the pool and let it stay effective all night and forget the bloody cover is you don't need it for heat... and if you do need it for heat ... they're not very good.