No. If I'm going somewhere to save someone, I don't want my presence to be openly announced to everyone by having my music blaring, especially not some kidnappers. I'd want to be as quiet as possible, whether that's on the way there or while dealing with kidnappers. I'm not smart enough to know what I shouldn't end up saying and who knows if the info I blab about could be used against me in some way, so shutting up would be the best solution.
I'd probably have an audiobook going. Then when I got there, I would probably have to sit in the car for a few minutes to get to a good stopping point. I'm sure the kidnappers would understand.
During one of the big wildfires I was trying to get from work to home through and wait to see if we need to evac I played Rivers in the Desert from persona 5 soundtrack the whole drive on loop.
I was going to say yes and make a joke about song choice, but then realized that if this were actually happening then I'd probably be too distraught and focused on getting to her to queue up a sound track so was going to say no, but then I realized in my distraught state focing on getting to my kidnapped wife I probably wouldn't bother to turn off the radio which is always on by default in my car... so basically, yes, I'd be listening to the local radio station at a moderate volume.
