It's not fallacious. It has worked in the past and continue to work even to this day. Peaceful protests are proven to work more than violence; when they are allowed in the first place. Violet uprisings rarely lead to positive change and mostly end up in either worse conditions or disaster.
Most Western governance are inheritors of violent revolutions of some sort, which people tend to be aware of but take for granted. The US has made it a point to elevate the right to bear arms as a natural right. The UK on the other hand arrest people for tweets. HK never had guns to begin with.