Edit, beat me to it ^^^^^ 
BF4 Beta ran in DX11.1, Win 8 is DX11.1, Win 8.1 is DX11.2, so unless BF4 final release is running in DX11.2, No. Matt, what does RP say?

Pc loooks for better than the PS4 in that vid,
Quick question guys, i'm moving back to windows 8 today after a few issues with 8.1, will i be missing out on any key features on BF4 or performance increases?
AFAIK it's the jump from windows 7 to 8/81 that gives the performance, and not 8 to 8.1.
Anyone care to help in clarifying?
BF4 Beta ran in DX11.1, Win 8 is DX11.1, Win 8.1 is DX11.2, so unless BF4 final release is running in DX11.2, No. Matt, what does RP say?