If that is a question, they are NOT. As soon as you plug the cable in, wireless controls on earcup are disabled. The cable has TRS connection, so you are only receiving L/R/Gnd from your phone, and controls over the cable are not supported.
That was exactly my concern- I remember further up the thread that someone mentioned the earcup buttons cease to work when the cable is plugged in- noticed that many buyers also own a wired version and was wondering if the remote cable from a P3/P5 would provide that remote functionality back.
If someone wouldn't mind testing, it could be helpful to the larger group- either to keep that cord when selling off an older version or to order one if they need that functionality with their P5W. My thinking is this- that case has that pouch for the cord and there are situations where you might want it wired vs wireless (conference calls, critical listening, etc)- if the older cable reenables working buttons then you could upgrade to this model and keep all your prior functionality.
Make sense or clear as mud?