That's just a label, though, it makes no attempt to describe the difference. You could say a conscious object has subjective experience, but that's open to the same observation that it implies there are two things (the subject and the experience).

I can only use a label to vaguely point at the concept of consciousness, and thus the disctinction between conscious and non-conscious objects. This is not infinitely precise, because noone really understands what's going on. What you call "describing the difference" would in fact be making further claims about consciousness. If one is not in the position of making further claims, it is better to not make any claims and stick to vague but commonly understood labels, instead of making claims implicitly by using complicated labels without further examination.