If the Mac Mini has SSD only, will Power Nap work?
Apple only supports PowerNap on 2011 MacBook Airs and beyond as well as the 2012 Retina MacBook Pro. The capability should move over to more of Apple's laptops as Apple makes a full transition to SSD. Built-in flash storage is listed as one of the requirements of the technology. Apple just released a firmware update that enables this functionality in the 2011 MacBook Airs, while support for the Retina MacBook Pro is said to be "coming soon".