Android already has this strict oversight, in theory, in the form of the Play Store. And yet.
Personally I feel much more safe and secure downloading a random app from F-Droid, than I do from Google, whose supposed watchful eyes have allowed genuine malware to be distributed unimpeded.
Exaclty. Play Store takes a cut from what it is selling, so they should be more strict what can be sold, not lock the whole platform.