From what I know, many of the products that scream “non-dairy,” while being OU-D are actually dairy equipment. As of now, the OU doesn’t have a dairy equipment hechsher. The main buyers of non-dairy creamers (vegans, people with allergies, etc) couldn’t care less if the equipment were considered dairy by halachic standard. The OU does not specify when things are dairy equipment because they think it would cause people to be lax and eat it with meat. Unfortunately it causes a whole different problem of people assuming things are only dairy equipment when they’re full-blown milcheg (eg. plain Oreos are only dairy equipment, but certain flavors are milcheg; the hechsher provides NO way of differentiating).
All that said, I think the grievance brought up here about products advertised as non-dairy is totally legitimate. Hechshers aren’t provided for non-pareve sandwich bread lest it be eaten with meat. If there’s a concern that people will assume bread to be pareve without regard for the hechsher, how much more so for products that explicitly claim to be non-dairy?