Unless it's parents picking up their kids while they wait outside their cars... I find schools are awful to cycle past. Then once in their cars it's even worse.

In the UK all schools are within walking distance or they are required to provide free transport. You shouldn't ever have to drive them yourself on a regular basis unless you are training them to be lazy.

You're right. Often, the primary emotion is fear when something goes wrong when driving. But it gets pushed out as anger.

The other factor is that driving is a lot more frustrating than walking or cycling, at least in the city. Stop-and-go causes stress to build up because you feel like you don't have control over your actions most of the time. That doesn't happen with walking.

There's a scene from the original Gundam that I think about a lot in this context.

The MC, having just gotten inside his giant death mech for the first time, is ordered to shoot some enemies (who had been trying to kill him just a moment prior) fleeing the battle. He couldn't do it.

The next fight that breaks out, those same enemies are back, in their own giant death machines, and the MC stops to think to himself "this is much easier, they don't look like humans now". Then he starts firing his laser.