I will say that yes, it helps to save the lives of people.
Of course, after the Magnitsky law, we lost our good friend Boris Nemstov, who was killed. He was a very strong supporter of the Magnitsky act. You cannot prevent these things from happening, if you are retaining this sort of position on the regimes that perpetrate atrocities against their own citizens, like in Russia and Belarus.
To answer your question, yes, it does help save lives. I can tell you that the attention, any kind of attention, any kind of solidarity, helps people to survive in prison and in penal colonies. However, where it is important as legislation.... When governments know that it's not just a political statement or moral support, but it's legislation that has very specific consequences, that is very powerful.