PS learned two main things. The large majority of focus MUST be on gaming and the price has to be affordable enough at launch. Whatever you can pack into that shell for that price, is what the console ends up being, period. Worry about everything else (media related) later.
The true reason why PS regained their market share is mostly because XB did the exact same thing PS did, leading up to the PS3.
If you watch the XB E3 shows from OGXB to XB1, you can clearly see how much more comfortable and confident they are on stage, year after year, and announcing new peripherals and software, even though it didn't exactly fit the console model at that point in time. They even said some things that would get them crucified in today's world, just like what happened at E3 2013. They got away with it though because for the most part, they weren't forcing anything on their customers. It was all optional.
They clearly decided things were going so well for 360 and Live, and things were going so "poorly" for PS3 and PSN, that they could bring out their own "PS3", and continue their steady domination of the console space. Which wasn't much different than PS, considering they both wanted to own the living room and basically have an all in "One" computing device.
When PS tried to do this with PS3, they failed because they kept their main focus on gaming, but that new tech, power hungry mindset, led to a price that was just too high for consumers to swallow at launch with all of the physical/digital media features bundled in.
When XB tried this with XB1, their focus was more balanced overall, and probably would have worked since the price was borderline, BUT, in comparison to PS4's stronger hardware and lower price, it made the XB1 look too weak from a gamers perspective.
If the PS4 had launched with the same hardware as the XB1, even with a lower price ($349), the negative reaction to XB1 probably wouldn't have been quite as bad, and the sales gap probably wouldn't be near as big either.
It's mostly XB's fault, but PS did do some things right. That combo is the reason PS4 is dominating XB1.
