The deposit addresses are uniquely generated for each new deposit?
No, there is a chance to reuse an unused deposit address.
Does that mean that if I open ChipMixer in my browser now, copy the deposit address, and close the site, you'll reuse this same address for someone else later?
Doesn't that open the possibility to "harvest" deposit addresses, to later on see which addresses sent money to your mixer?
If unused addresses are reused in such a way, it would be better to never reuse them.