Dave Plowman wrote:

How many radio channels do you regularly listen to?

That's a very good point. Certainly no more than three or four regularly.

And FreeView tuners are cheap as chips.

Are you suggesting one Freeview tuner for each radio station? It would be
necessary to split (and perhaps amplify) the incoming aerial signal, but I
imagine that could be done.

I could feed each tuner to a different input on a central amp, then the
individual room controls would only need to work on the amp in order to
change both channel (ie input) and volume.

It's slightly messy and rather depends on the control system, but it would
surely work. Thanks.

Bert