I think this is almost the correct diagnosis, but the real problem is adjacent to that: it’s very easy for opponents to capitalize on political decisions that accept risk. It’s not that people love “do something, anything” policy making—rather, it’s that when the appropriate policy action is either to do nothing or to do something that accepts the probability that bad things may still happen, people are extremely sympathetic to opposing claims like “oh, so you mean you want people to die in <thing> events in the future”.
Policymaking is such asymmetric information warfare that many times the ideal policy solution isn’t even mentioned because it’s understood to be suicidally unmarketable. Leverage and empathy favor the reactionary advocates who drag (for example) the people bereaved by drowning deaths into the spotlight over the people saying “maybe we shouldn’t ban all swimming”.