The 1 μs is the time the electronic shutter takes to act, and there's no spec sheet for that that I'm aware of in the Sony cameras. As for exposure times at high frame rate, they go up to (down to?) 1/10,000th of a second, so definitely the electronic shutter must be working faster than 100 μs to reach that.
But as someone already pointed out, my main issue was understand the "International" (the I from ITAR) as meaning that it was a treaty signed by many countries, when it actually means "exporting from the US to International markets".