What I would really love is an option to have a small indicator light or visible signal on my earpiece that means “there’s no sound playing”. And if I’m using them just for noise cancellation but want to appear approachable, I can turn it on. Honestly would be great for sound my home, as sometimes I keep them in when doing chores just because I don’t have a free hand, but I would like my wife to know she can talk to and I’ll hear her.

Outside I sometimes have headphones on without music, just so people do not approach me ..

But with your wife, doesn't eye contact work as communicating need for talk? Body language?