The Grappler is an excellent tool that has been around for awhile. The other choices the police have are chase the car until it crashes, the PIT or TVI. (same thing, different name). All of these cause damage to the vehicle, and often fatalities! Watch some of the police chase videos on You Tube and you will see.
As far as damage to the vehicle if it is stolen, the owners insurance or the owner have to pay for it. The police agency has qualified immunity as a government agency, and forget getting anything from the thief. This is just how it works, so you can all quit speculating about who pays for the damage.
I was on both ends of this, 21 years as a LEO, and 23 years in the insurance industry.