The “metal prints” (White Wall, Bayfoto) use a special feature of aluminium: Al is always covered with an Al-oxide layer.
They do not print onto the surface but into the surface. They use anodised aluminium plates and they bring the color into the anodised layer. Actually the anodising process is not finished, when they do the printing. The color is supplied via the print on paper (as in the above referenced video by CS) or they use ink jet printers to directly print on/into the surface.
Anodizing is a kind of electrolytic process, where you increase/grow the layer of Al-oxide, which is always on top of any aluminium surface. After the electrolytic part of the process, this Al-oxide layer (actually a Al-hydroxide-layer) is not yet very dense but a kind of porous. They print (or sublimate) the color into this oxide layer. Then there is a final step (kind of cooking in water) where this surface layer is densed/hardened, you get an almost corundum like Al-oxide layer with the picture inside. This layer is far more stable (time, UV, scratching) than any lacquer. E.g. this printing process is used to make signs, which are resistant against abuse in public areas. This process is a kind of further development of what you might know as coloured anodized aluminium (or Eloxal).
I looked for a reference for the printing and prints, it seems the prints are called “sub-anodizing prints”.
http://www.directcolorsystems.com/applications/anodized-aluminum-printing/ By the way, he Dibond plates use 0.3mm Al-sheets (not 3mm), which are made from rolled 5005 alloy (AlMg1) in H44 (heat treating condition).