Most of the latency in a short wireless link is from the processing in the radio rather than the time it takes to travel across the room.
The controller must take the input signal, convert it up to frequency, and apply a modulation. The console must demodulate the received signal and convert it back down in frequency.
Having said that, I would imagine a hand controller to have a pretty low bit rate output, requiring a relatively simple radio.
As for the OP, as mentioned...