No but this is a real point about what entanglement is and I see little evidence that you understand it yourself, though I certainly admire the extensiveness of your reading. I don't want you sliding off into other assertions until we dig down a bit on this.
You claim that spin-orbit coupling is a manifestation of entanglement. Now I got taught about that by means of things like perturbation theory, whereby a notional one-electron state is perturbed by the influence of others, resulting in states that are not simply those of one electron systems but mixtures. You, apparently, choose to call that "entanglement". But can you tell me what it is you can measure about spin-orbit coupling that instantly reveals the value of some other quantity correlated with it. If not, what is point of describing spin-orbit interactions as "entanglement"?
I am resisting this all-embracing usage of entanglement you are promoting because it strikes me as unhelpful, glib and obscurantist. It seems to try to make something we understand mysterious again. That is not what science ought to do. Mixing of states, in various contexts, is bread and butter for the quantum chemist, not least to explain chemical bonding. We never called that entanglement and I am glad we didn't.
Please, if you are convinced that the concept of entanglement provides useful insights into the nature of spin-orbit coupling, show me how you demonstrate its utility in this context. And then, if it can be applied to chemical bonding, I'd like to have a think about that as well.
In quantum entanglement there is not known interaction between the entangled subjects.
Spin-orbit coupling or atom surface entanglement appears to me an unwarranted effort to promote already non intuitive concept of entanglement.