I'm sorry, in two years they upped their revenue by over 10b - from 19 to 28b - I'm fairly certain they are having record profits. (Google doesn't release numbers for youtube's revenue, so that's the best number you're getting)
You don't spend the kind of money staffing a product like YouTube unless there are lots of profits too.
Everyone seems to have read an article from 10+ years ago and haven't updated their opinion since. The internet is wildly different now. Tech makes huge profits.