Shilala Beads

So I have a question, which I thought about when I saw the comment to only use distilled water to recharge. Note, I use the HCM beads and am thrilled with them, and I have not had to recharge them after months of use in Colorado.

On to the question, what difference would it make if distilled water (vs. tap) was used to recharge them if the water was being applied as a vapor (as in, evap'd from a sponge or water, etc). By definition, isn't turning the water into vapor going to be creating 'distilled' water in the process? I'm a biology guy, not a chemistry guy, so maybe I'm missing something critical.

I've always used distilled (back when I used traditional humidifiers, anyway) but got to thinking about what the difference would be in this application.