/diy/ - Do It Yourself

OK, so I'm trying to make a wireless Bluetooth controller. I intend on making some receivers to connect to my old school consoles as well.
I was exploring the idea of using a Bluetooth Low Energy MCU. However, my concern is with how it communicates. It's asleep until it has to send out a command in order to save energy, but I'm wondering if this would cause a significant delay?
I get that the low power aspect means it doesn't get as much range, but mainly I'm wondering if communication to a receiver would be as fast as a classic Bluetooth MCU? Obviously, communication speed is pretty critical for some games, and I realize that once you go wireless, you introduce delay as opposed to a hard wire connection. If the communication speed difference is negligible, I can live with my BLE MCU being nanoseconds slower than a classic Bluetooth MCU.