You know the best way to make the road super safe?
Replace the airbags by a long pointy metal spike that goes next to the driver throat.
Would that impact the way you drive? I think you would be super careful. Then, why do you think an airbag will not impact the way you drive? It does - only in the other direction.
We all have unconscious bias. Insurance increase risk. I want to minimize my risk, not my average payout. This requires recognizing my own biases.
If I'm kidnapped and dead, all the money in the world won't bring me back. So I'd rather feel unsafe, as it will discourage me from taking risks. In other words, I will not bet against myself.
I don't like making bet against myself, regardless of the reasons behind. So in general, I only take the minimum insurance legally mandated.
In the OP post, you can see that the existence of an insurance will increase his desire to take the job, and thus the risk of being kidnapped. I wouldn't do that, but I'm just talking about me