And in the meantime before a human can check it, you think google will be completely without liability if they flag someone as a terrorist but let them continue on with their business, even aiding them with all of google services?
A legal team of 1,000+ at google is betting that you're wrong. I have a feeling they came to a pretty logical decision that liability of aiding someone flagged of terrorist activity is greater than liability of shutting down someone to whom you owe nothing.