Parliament itself is that old, but it's possible to argue that the UK didn't qualify as a democracy until the Reform Acts of the 1800s (and possible to argue against it too, of course).
But how much shorter? Light years are a long distance to cover with relay stations if their peer to peer range is not unlimited. And when "DVD sized" should include both sender and receiver, p2p range most certainly won't be "astronomical" (which it would quite literally have to be). The relay approach implies symmetry and usually what we do with probes is the opposite, compensate a smaller device on one end with a bigger device on the other end.
Voyager 1 uses 22 watts and 1970s technology to communicate from 21 light hours away.
Radio encoding has come a long way since then. In particular ft8/js8call uses an encoding that can communicate at over 20 db below the noise floor, allowing communications across the earth with a few watts which involves many 1000s of miles of atmosphere, bouncing (poorly) off the upper atmosphere and the ground many times.
If we launched one an hour at 5% of C (better than today, but much worse than the goals of the project) they would only have to communicate across hops of 3 light minutes, er about half that since 5% of C is the final velocity not the average. Considering voyagers success at 21 light hours and the improvements in encoding that sounds quite feasible.
This is an unaffiliated version looks like https://apps.apple.com/us/app/live-transcribe/id1471473738