Uh, Remote Play was a feature on the PS3 with the PSP since launch, and in 2010 Sony started preloading a PC client on all VIAO computers to allow Remote Play on Windows. The "workaround" was just to install that program on your non-VAIO computer.
The PS4 also supports Remote Play via a direct connection, over the same WiFi, or over completely different networks with the Vita, essentially making every PS4 game a handheld game as well (and it works great, even over different wifi networks), so presumably the Mac/PC client will be able to as well. It also supports Sony Xperia phones and tablets (and by downloading the APK and DS4 driver, every Android phone and tablet). The Xbox One/Windows 10 Game Streaming is only compatible when both devices are on the same network. In addition, it requires Windows 10. This client will allow Mac users, and possibly non Windows 10 users (7/8) to use the feature as well.
So, not only has Sony already had a feature like this since last generation, next year it'll be doing it better than Microsoft.