Gaming is for PC and other platform as like Xbox and PS4 that are bulit for one thing only and that's gaming/ I don't enjoy gaming on an small screen that it's not easy to see or control.
At least, it shouldn't be hard for Sony Game Developers to port their games to work with Mobile based TV consoles/settop boxes and VR consoles which has a controller like Android based consoles/settop boxes like the Nvidia Shield TV, Android VR headsets like the Samsung Gear VR and the Apple TV which uses iOS as its operating system. Android settop box consoles, Android VR system and the Apple TV both have controller support.
A lot of smartphones and tablets now can use a mini or micro HDMI video cable, and can use a wireless gamepad for playing games on a bigger TV.
There are also handheld Android consoles with built-in controllers made by GPD, JXD, Archos, and Wikipad which let you have a handheld gaming experience which is similar to a Gameboy, PSP, and 3DS when you play games like Grand Theft Auto 3 for Android with controller support, or you mapped the buttons on Android handheld consoles.
Sony can also release games to the Windows Store which is the official app and games store for Windows Phone, Windows RT, Windows 8/8.1, and Windows 10 tablets, Desktop PCs, and devices, so Sony can sell their games to the millions of gamers who use the Windows Store on both mobile and desktop devices.