The thing to worry about would be poisoning from copper toxicity (by misuse above, or by overuse of copper sulfate), or if made with beryllium, beryllium poisoning. If somehow 30mg/kg of copper were swallowed, it is potentially lethal. And if any food residue is left stuck to a piece of copper cookware, it should be thrown out immediately so it doesn't leech copper out.
If all he ever did was serve a cold moscow mule using his "copper water bottle", maybe the alcohol is the problem. But we only know he used it to drink water and alcohol. We don't know if it's lined, or if the lining was damaged, or if he used a hot or acidic liquid inside it at some point, or whether it has a corrosive residue.