Roughly. I would broaden the colloquial meaning to "new-wave tech companies". Ones from the past decade that aren't FAANG and maintain an agile culture (or at least purport to), and have a certain San Francisco sheen to them even if they aren't actually from there
I'm not arguing one way or the other, I'm just observing that "startup" is an overloaded term in 2020, and maybe the new definition is a bit silly, but it's also really hard to get everyone in a society to change the vocabulary they've become accustomed to.