The answer I gave is true in my experience, but the relevance depends on the exact question you're asking. Vacancies for Java desktop development are something else. The fact that there are still many Java desktop applications in commercial use doesn't mean there will be many new desktop Java apps in development, or demand for desktop developers. Apart from tools and utilities, fat clients are being dropped in favour of thin clients and browser-based systems. Business vision is typically a couple of years or more behind the current leading edge of development for good commercial reasons, but it is moving forward.
But you say that Java is widely used for desktop app. It is wrong and will be confuse newbies.