You may be right, and I don't want to argue the point needlessly, but I am going to respectfully disagree, because it runs counter to traditional brewing terminology.
The reason we call hot break what we do, is because it consists of stuff that comes out of suspension and coagulates during the boil. And the reason we call cold break what we do is that it comes out of suspension during rapid chilling.
If cold break were essentially invisible and didn't come out of suspension or change in any way during chilling, we wouldn't have a name for it because it wouldn't be a thing - it would just be another part of the wort solution.
Maybe I'm wrong and I've misunderstood these materials for the 20+ years I've been brewing and reading brewing literature. I am always open to being corrected when I am wrong, but I will need to see some respected literature or science supporting your assertion (and, in fact, would love to, if you can point me toward some).