It's unfortunate maybe that the word has changed, though I think if we are being fair we could say that it hasn't been commonly used in that way, on it's own, for several decades. It's still possible to use it in a way that contextually gets at the same thing which I would say you'd need to anyway, even this other usage wasn't common now. The older usage is what you might call retro.
However, like others have said, this wasn't some kind of direct borrowing. It came to be used by the sort of university educated, urban, middle class, neoliberal types to describe those people who subscribe to their views on identity politics. The fact that these people in reality seemed so blind to their own biases just made it an almost irresistible label.
You sometimes see SJW used in a similar way, or people will talk about those who subscribe to identity politics, or cultural marxism, or intersectionalism, but woke I think has become popular because it does so encapsulate the attitude of those who embrace those perspectives. It's very difficult to unseat use of a word that contains that kind of descriptive irony.
It's also somewhat ironic to see the demands that people stop using the word because it's appropriation.