Looking at what is happening with in smarphone market, PlayStation would have a lot more to gain by going the Apple direction than the Android one.
Valve is on a completely different position where they are already far ahead as far as storefront features and being able to directly compete with anyone.
Valve despite how slow they move at least have consistently moved in the same direction for years and years while Sony failed to solve some core long issues for their business like refunds, free online, store UI, user feedback, native portable device, backwards compatibility, etc.
Sony has a massive buffer due to how big PS is now but if they ever find themselves in direct competition against PC it not going to be favorable to them. They still have a few years to put their home in order or we might actually see PlayStation go the way of Xbox not in the so distant future.