For "makes your coffee white" there is already the established product name "coffee whitener". What's wrong with using that one instead of mislabeling it as a dairy product?
Because it's not simply a coffee Whitener, it can be used for other things, it's also not labeled as a dairy product, it's labeled as a plant based milk alternative, which is pretty clear.
Well then, can I use it to make cheese? How is the fat content, can I skim it for cream, maybe make some butter? Can I make Sourmilk? Yoghurt? Can I at least foam it up for Cappucino?
For most of those things that aren't milk, the answer is "no". So they aren't milk alternatives, are they?
The answer to some of those questions would also be "no" for particular types of milk (e.g. skimmed milk).
Honestly, if someone told me that they got confused between dairy milk and plant-based milk, I'd laugh at them. It's not likely to be a recurrent problem either, as surely you'd realise when you came to use it.
