If the protest is about police violence? More often than you’d think. See Ukraine where increased outrage led to the abandonment of anti protestor laws.
But the general point is that most European and Commonwealth governments wouldn’t let it get that far, they’d capitulate as soon as an extended outcry had been made, or even before one began, lest their party decide that a new cabinet is in order if they want to win an election ever again. Popular riots do happen, but that kind of misjudgement is inexcusable, so it almost always results in the fall of the government, if not immediately than at the next election.
The USA, by contrast, seems to use a combination of ignoring public outcry and relying on their internal security to stifle it. A response more suited to totalitarian regimes.
