Having worked in the pool industry pretty much my whole life, I can tell you that pool water with the right kind of chemical treatment is probably not going to make you sick. Now, if you have a salt system that generates your chlorine. That's obviously out. Furthermore, if you are one of the "savvy" consumers that chlorinates the water with house hold bleach and the "finest" walmart chemicals...I probably wouldn't drink it.
A lot of chemicals set ups from swimming pool professionals will keep the chlorine content at or below .05ppm. Not exactly what i would call "healthy" drinking water, but I could handle that if need be in an emergency situation.
Also, most pools require some sort of stabilizer to keep the chlorine in the water less the UV from the sun breaks it down. It replenishes itself by the chlorine tablets added to keep the the water clean. If you deny the water these tablets and stay with a shock that does not contain stabilizer, then the chlorine will burn itself out every couple of days if left uncovered and in full sunlight.
Now if you factor in ionizers and other "chemical free" systems, anticipating an event that could leave you without water COULD make a pool potable, or potable enough. The one thing that I would watch is the salinity of the water. Most chlorine tablets as basically salt based as are many other chemicals. While it won't be salt water, it might not be as quinching as one would hope. Pool water is also pretty hard. I don't know what that might do to you in a long term survival situation.
Granted, my knowledge of the subject is pretty narrow. What we install and suggest in the midwest is night and day difference from what people in Florida or California do. Personally, given the choice of dehydration and boiling/charcoal filtering pool water...i would take the pool water. Of course, it would be way down the list of available water.
Jake