Well, they weren't completely wrong, to give them credit where it's due.
What I suggested is directly related to your question, and only works on PS4 or XBONE (through an adapter) by using the controllers or through a 3.5mm-to-optical adapter (such as the mixamp) compatible with the console you want.
Otherwise, it's modding or abandoning the idea.
Also, I was a bit hasty on the answer myself; sorry about that ^^. You'll be fine with the mixamp, but without it, you'll likely NEED to amp the headphones to actually enjoy them if you're using the joypad (I doubt they can properly drive anything higher than 16ohms).