Very nice! The texturing and lighting are what really makes this demo. Unfortunately, it only displays correctly for me in Firefox Developer Edition, not FF 33.0, in which the picture is skewed: http://i.imgur.com/7i74m36.jpg.
I'd say it depends on context. Historically, voxels have been analogous to pixels. This has been somewhat blurred by Minecraft, and the widespread reporting on and discussion of it.
At first, the cubes in Minecraft are analogous to tiles (as in the tiled backgrounds or maps of 2D games), but when you use them to build models and things, then they become like large voxels.
If you're into tiny cube-based 3D engines also have a look at this demo for the Lobster programming language (http://strlen.com/lobster): http://i.imgur.com/ZZWFkXn.jpg. Its entire source code fits in the screenshot.