Correction: "ADC's have the least impact when shut down, or played incorrectly."
Most people think an ADC is as risky as an assassin that has high damage and are not incredibly, such as Master Yi, Katarina, etc. But they overlook a few key facts, such as the fact that an adc is ALWAYS duo laned with a role that is almost specifically designed to 1) secure kills for them, and 2) make sure they don't die. They also overlook the fact that an adc's range makes them a lot safer than an assassin, because they can deal tons of damage from a distance, so it's not like an assassin that has to get in somebody's face, burst them down, and probably escape from the minion wave/tower/enemy team before their squishy ass gets wrecked.
Overall, anyone who says that this role is not important or has no impact is either lying to themself because they're bad at adc, or just doesn't know how to play this game.