Ask HN: Ever found the language remember me on this computer weirdly incorrect?

The language around setting a remember me cookie on some sites feels strangely incorrect. You click remember me and you are only remembered in that browser, use a different browser and you are not remembered. I know why this happens, but just wondering why the language is sometimes along the lines of: "Remember me on this computer" or "Remember me until I log out" when obviously neither apply for other browsers on your machine.