New cars vs old cars - how does the insurance compare?

I know it's not comparing like for like and everyone's policy is different depending on their age, driving record, any previous claims, etc etc but bear with me on this. I'm looking for an answer in very broad terms. My dad has always swore that an old car will cost you more than a new one in insurance premiums because it doesn't have all the safety features or sophisticated anti-theft devices a modern one does. Basically he hates old cars overall lol and this gives him another reason to dislike them. His logic is that in the event of an accident you're likely to have more damage suffered to your own car and the other person's vehicle if it's an old one - not forgetting personal physical injuries to you, your passengers and the other driver too if you don't have something like an airbag for example. He also thinks an old one is easier to break into as well and therefore has an increased chance of being stolen. Old car=more risky in his mind. I assumed that the insurance premiums on an older car would be cheaper because it's ...well, it's old lol. It's not going to be worth nearly as much as a newer one if it gets into a wreck, which means it's not going to cost the insurance company as much in a claim. Anyone wanting to steal a car isn't going to target an old runabout. They'd want something worth having, would they not? Plus wouldn't a nice shiny new car be more likely to be pushed to the limits and therefore stand a bigger chance of being in an accident than a beat up old car? And the fact that you'd pay much more for it must increase the insurance, surely. As you can see, we're in opposite camps over this. I'm looking forward to see what responses I get. Thanks!