It's not exactly like the bookstore example because you don't independently browse through Google/YouTube like you do a book store. It's more like if you join a membership to a bookstore where they offer you a reading list every week. If that reading list has racist, sexist, or otherwise inappropriate recommendations should the bookstore be responsible? When a company creates a curated list of content should they be responsible for the contents of the list?

I don't think there is a simple yes or no answer for this. Like all things, life resists simplicity. This is a complicated issue with complicated answers.