It will be an interesting experiment, should you choose to do it!! I think you're going to find that you actually spend more on chlorine without the CYA than with it, because you're going to have to dose it so high on a daily basis to make sure that you have a residual. And don't discount shocking--should you have an algae outbreak (and that could easily happen if you get lazy for even one or two days about adding chlorine), then over half of your chlorine put in the pool to fight the algae will be gone to sunlight. I'm not sure that you could ever sustain a high enough level of chlorine to kill off algae without some CYA in the water.

I'm no chemist, but from a practical standpoint, I just don't think it would work...

Janet