If it’s a ps+ feature, that would be super annoying. MS was (rightfully) pilloried for being consumer unfriendly at the start of this cycle, but have made huge strides in that department. One could argue that being the underdog, they had to. But man, Sony is just taking the cake here (see, for example, the cloud saves thing upthread).
EDIT: So I just went looking. Under Settings>Power Save>Rest Mode, ‘Stay connected to the Internet’ is checked, which says it can download update files and content, and upload saved data. Under System>Automatic Downloads>Application Update Files, it says I can automatically download update files while the unit is on, and PS+ members can download files in rest mode. Fuckers.