I've posted before about this issue. I always thought that the obvious thing to do was to send the speaker signal via the mains. Maybe there are technical reasons why a clean enough signal cannot be sent this way, but so many things are now done via the mains right down to plug-in baby listening devices.
Graham
I use this method for Wi-Fi around the house. It's OK but in some houses (like ours) there are multiple circuits i.e. between floors and even different rooms or between sockets within rooms and the signal does not cross between two different circuits. It won't operate via a trailing socket (technical reasons) and signal strength is lost over distance.
Would be ideal though.
Dave.
I'd forgotten that many ISP's actually prefer router extenders to work via the mains, so the technology is there. There's a good chance that in any one room in a UK house that the sockets are on the same ring main. Having said that I do realise that the use of ring mains rather than radial circuits is probably unique to the UK. It apparently arose from the post WW2 shortage of copper.
So maybe the use of the mains was dismissed due to radial circuits not necessarily being linked to each other. But it would certainly work in the UK for individual rooms.
Graham