> IE did dominate the world
For a brief period. So did many other short-term phenomena, from BASIC to MS Access to Clipper to Pacman. And now they are stuff for the museums. Except for Pacman, of course.
> Never made much of an impact on the desktop
So? It still survived competition with Microsoft - and, arguably, won on every platform except Windows, non-Windows .net use is still basically zero and Linux rules server world, so...
> What's the most widely used Java desktop app?
I honestly have no idea. Well, Eclipse of course, IntelliJ suite of tools, probably, but it could be some other apps are Java too and I just don't know it. The point is Java is alive and well despite competition from mighty invincible Microsoft.