At least in
NA, mains frequency is very very stable. The entire
continent is in phase and clocked with very high precision. It's more
stable than a free-running digital clock.
Yes, the long-term stability will be very good, as the frequency is
adjusted to keep clocks in sync. But there are small short-term
variations all the time which you won't notice on a clock, but can
be measured easily.
Really? Any supply that's out of phase will instantly face the wrath
of the collective rest of the system. "boom". The whole continent
would have to be moved simultaneously.
And if the lights were switched off ... :-)