Decades ago when first hearing about timing attacks I thought every network switch and nic should generate essentially white noise at all times on the wire, with the actual traffic just mixed in. Random amounts of random data going to random destinations, completely filling the pipe 100% at all times like how a carrier wave is on at all times, just as a feature of lighting up the port. If the electricity is on, the noise is on. Or at least in the switches and maybe not needed at the end points.
A fantasy.