You don't even need to work QA to know how absurd it is. I just checked and Fallout 4 has 3600 mods for Fallout 4 on Xbox One, you can't hire enough people to test all of those mods alone. Then add in however many mods Skyrim will get, and also factor in that people will be adding mods for years to come, Sony's request is pretty obviously unfeasible.
Mods obviously have to be regulated by the people downloading them, there is no other way of handling them. People will put up crappy mods that don't work or even harm the gameplay experience. That's to be expected. People will leave bad reviews for those mods, and eventually figure out how to avoid crappy mods, just like what happens on the PC.