Power Nap support

Solution 1:

No. What they meant was that it runs on Macs with "built-in flash storage"¹. That is to say, the MacBook Airs from 2010 to 2012 and the Retina MacBook Pro, i.e., the Macs with the (semi-) proprietary Flash hard drives and RAM soldered onto the logic board and Thunderbolt ports.

This means that it isn't supported by the 2012 non-retina MacBook Pros.

¹ Source: footnote 2 on your link, at the bottom of the page.

Power Nap requires a Mac notebook with built-in flash storage. May require a firmware update.

_{Edit: As of the official release of 10.8, Apple changed the set of supported Macs for Power Nap to not include the}
^{late-2010 MacBook Airs. Update: as of 10.8.2, Power Nap is now supported on late-2010 MacBook Airs again.}