You can use distilled water to water CPs. The thing is, whether you trust the company or not. Furthermore, that stuff must be expensive as hell. Just get some rain water and your plants will be fine.
I've just taken a look at the Spritzer website to see whether or not they add minerals and such back to the water - I haven't seen pure distilled water for human consumption before as it doesn't have any of the stuff in it that I figure someone would want out of expensive water... according to the website, it is completely devoid of mineral content so it might be all right but it would be worth checking it with a TDS (total dissolved solids) meter and finding out for yourself.