Facts are ephemeral little blighters - it matters not the topic at hand.
But when facts are inconvenient to a particular stance, there is always the fall back of personalisation/ demonisation/ counter 'fact' and emotion. Whether it be 'gun control' or any other topic, the 'side' that draws on hyperbole first is the one with few or no facts in their favour. The side that follows into a debate on that basis simply throws away their advantage.
Why should we care? Because history shows that mankind has a prediliction for following glitzy hyberbole over facts nearly every time - oft with frankly disasterous results. Such public statements as shown in the link above must be challenged everytime and shown for what they are - or they become entrenched. The bottom line if that view prevails - we all remain in undue danger. Thats why we should care.