I'm going to make a safe bet that there's no way any of the capacitors involved survive anywhere near that long. Now of course, technically the data is still there, but I doubt it in 200 years it's going to be all that easy to replace the microcontroller while retaining that data. A competitor in this race would be the connector:
> The Blaustahl includes 4MB of NOR flash for firmware and a USB Type-A male port that requires no additional drivers on most operating systems.
Something tells me that USB type-A is unlikely to survive the next 200 years.