Neville, things that the consumer would not think were dairy don’t have to be labeled non-dairy. But “creamer” sounds like it would be dairy, so they must label it.
“Ice cream” can’t be used at all, even with an explicit “non-dairy” label, and even with an explicit label of its origins such as “soy ice cream” or “coconut ice cream”. If it’s not dairy it cannot be called “ice cream” at all.