"Watermarking" and trademarking can be different things. And access to data is already licensed.
I think you're right in that DRM systems are likely to be built on top of such infrastructure, but DRM has been broken in other contexts before and the system doesn't necessarily have to be used for DRM.
This last sentence is the real reason behind this technology. Training data isn't cheap and I'm sure the paying party needs a watermark on it.