Does using the hyperpolling wireless dongle at 1000 hz give same battery life as using the normal 2.4 ghz wireless connection

As title says im just wondering if i am using the hyperpolling wireless dongle at 1000 hz will my battery last as long as it would if i just connected my mouse to the default connector included with the mouse. Or does the battery still get drained faster using the hyperpolling wireleless dongle even when only at 1000 hz