You aren't wrong, but to be entirely fair, the original meaning of "woke" came from the black activist community and referred to the hidden boundaries and power structures of systemic white supremacy, ignorance of which could directly threaten their lives.

I think it's important to remember that specific context when talking about where "woke" as a concept comes from, its general acceptance within the leftist community has, unfortunately (and maybe inevitably,) come with a bit of whitewashing.