heise.de has an article about a future german law (in german).
As far as I unterstand: provider of operation systems need to offer an easy to use youth protection in future. A parent should be able to select an age for the user for the whole system and then (password) protect the configuration against modifications. If an app has no age limit it should be considered to be legal at the age of 18.
If a german custom rom wants to include F-Droid that project would imho at least to be affected by the law.
I am not sure about about the social pro and con.
F-Droid could offer an minimum age recommendation per app per version. That could be a bunch of work. Since the laws in the world differ widely there could be something like Li-Ri:min-age:common sense:0 min-age:de:0 min-age:fantasy-country:3
The other part would be the software extension. If a custom rom wants/needs to offer a single point of configuration there could be an api to f-droid for configuring. Imho the api could also be defined by google as the monopolist in the android market.
PS: german article at golem.de: Golem.de: IT-News für Profis mentions Android - JusProg Jugendschutzprogramm which is a non-commercial organisation in germany that offers cost-free youth protection. They mention age.xml and age-de.xml.