The wired/wireless distinction can often have to do with getting a network connection over ethernet cable or over Wi-Fi.
Other signals can also be wired or wireless. It needs to be specified to be clear to others. E.g. antenna vs. coax cable for a TV signal.
I am confused by your use of the word ‘power line’. All electrical equipment needs electrical power. Either AC or DC, or USB, or batteries (or in very special circumstances even ethernet or HDMI). Wireless power would then be the batteries, but that is a weird way of saying that.

In regular conversational speech, the power cord doesn't make the device “wired,” as wired/wireless designation points to something else than power.