nope it’s definitely only 3:
https://www.vrfocus.com/2016/05/a-guide-to-googles-daydream-controller/
The motion you’re talking about is an arm model mathematically simulated from the gyro and tilt. Google has extended the default UE4 motion controller to include that for us:
https://developers.google.com/vr/unreal/arm-model
unfortunately it’s only available in the google vr branch of UE4.13 which I could never get to build 
Note: Currently this functionality is only available in Unreal with Google VR.