The similarity in the numbers is indeed striking, but I don't think that it says much about the perception of the hamburger icon. I suspect that for most readers the language button is more useful than *any* of the actions in the hamburger menu - home, random, nearby, watchlist, settings, log in. To confirm it, I'd love to see the the numbers for these other actions.

Also, as Nemo asks, it would be useful to see pages without language links separated, and to also see page length taken into account somehow - on a short page it is easier to see the languages button (less or no scrolling), and there's more motivation to tap it (the hope to read more in another language).