Compared to a curated video service like HBO Max, Hulu, or Netflix, that's an accurate way to describe the relative differences. We aren't used to using that terminology through, so yes, it comes across as weird (and if the point is to communicate features, is not particularly useful compared to other terminology that could be used).

It makes a bit less sense for search IMO, since that's the prevalent model as far as I'm aware, so there's not an easy and obvious comparison that is "closed" which allows us to view Google search as "open".