Someone with skills who plans out what they're doing can boost a car in less than a minute. But someone with that level of skills is more likely to use a flatbed. If caught in the process, you stand a chance of talking your way out of it by saying you've got a tow order, but must have misread the license plate. And it gets rid of the alarm problem.
Chopping a car (actually disassembling it) with a good crew and the right tools, especially air wrenches, can be done in less than two hours. Realize that some things are removed without much disassembling it too much, such as the engine. Other parts are junk in the used parts market.
Starting point is removing the hood, front fenders, and everything else in front. Three people can work on this at once. If you've got two more, they start on the doors and start stripping the interior. One more person with a forklift to remove parts as they come off. Chop shop guys would be full-time mechanics, doing this to supplement their income.
Best of luck,
Jim Clark-Dawe