There are also ways to do Active Noise Cancelling without an external battery and without a new cable. I had an old Sony laptop that did ANR with software on the laptop and mics on the earpieces wired back into the laptop. Also the connector was backward compatible with a standard 3.5mm. They just used a 3.5mm connector with extra conductors on it like this one:
https://www.amazon.com/Connectronics-TRRS-Conductor-Metal-Au...