Starting back up from zero is significantly easier, as you are completely isolated and have zero load. You turn the power plant on, and start slowly adding local load to ramp up. Synchronize with neighboring plants where possible to build the grid back up. The only issue is that a power plant needs a significant amount of power to operate, so you need something to provide power before you can generate power. In most cases you can just piggyback off the grid, but in an isolated black start it means you need a beefy local independent generator setup. That costs money and it's rarely needed, so only a few designated black start plants have them, paid for by the grid as a whole.
And you're assuming that there is a throttle setting that lets the plant produce so little power that it only runs itself. Think of the Falcon 9--the landing is hairy because it's impossible for it to produce less thrust than it weighs. The engine will go out if you try to throttle it too much.