For larger business, probably. For smaller businesses, the printer and scanner is very often an all in one unit these days, and a NAS is one more device we have to maintain, and one of the most frequent activities is to scan documents and save them in a document store, or pick documents and print them. If you can stuff enough capacity in the printer/scanner to make it the NAS too, cheaply enough, and add capabilities to e.g. have it print files directly, then that could be quite useful. A lot of printers already can print directly from memory cards etc., so why not straight from the file server?

In my experience, in larger companies, the printer, the scanner, and the photocopier are a single unit.

I think that, nowadays, you only need custom printers if you have fairly extreme printing needs (large or heavy paper, high-quality color, or large quantities)

And the typical large copier already stores lots of things on disk (http://catless.ncl.ac.uk/Risks/25.98.html#subj13)

What about this is made better by memristor processors?

...until someone takes the printer offline to fix it, and all of a sudden no one can access files on the NAS...

Makes me realize, AiO printers are the smartphone of the enterprise. Everything goes through them. New features accumulation on them wouldn't be surprising. Until everything becomes virtual paper with integrated sensors and powerful enough CPUs.

I'm really guessing they mean one of those big all-in-one office machines, and not a deskjet, but who knows really.