Yes, more specifically aircraft turbines idle typically at 50+% of max RPM and their generators would be online at those speeds after the starter mode is no longer needed.Although not universal, a generator does not make proper voltage until the higher RPM's have been reached. This is why aircraft use them on turbine engines. Generators are more suitable for the "Starter/Generator" combo what are known for weight savings on aircraft. Even so, generators are rarely seen on piston aircraft engines.
I'm a little suspect that a over-voltage/over-current circuit failed so spectacularly. Usually, it should cut out at 18v (or 29v depending on the system). Even the pre-solid state equipment (like carbon pile) was pretty reliable.
Good question and a great forum to ask it.