Depends who's protesting and what's the support for the protests among general population. The problem with most of the protests you see is that the people that do the protesting are the same people that oppose the government. So yeah, no government is going to react to protests done by people that don't vote for it, no matter how big. If the actual people that got the government elected protest or support the protest then they listen. Of course most of the time people know what they are voting and the government is doing exactly what it promised so they will not protest.