Sorry, but that's one of the weakest lines of reasoning I've heard in a while. Saying it's not safe to "hot swap" monitors is a load of crap. Mac OS X is designed to detected screens being plugged in while the machine is running, just like any USB or FireWire device. The reason they have screws on them (as opposed to USB cables, for example) is because video cables are much heavier and would have a tendency to fall out, and yeah you don't want that to happen because it would be dammed inconvenient. Not dangerous. Yeah, you're not supposed to unseat a graphics card from a computer while it's running any more than you're supposed to unseat the CPU, but unplugging a monitor is no different than unplugging a USB keyboard or a set of speakers.
In my office we all use PowerBooks/Macbook Pros and have monitors at our desks, and we're plugging and unplugging them constantly every day to take our laptops to meetings or home at the end of the day. The only risk might be a physical one to the pins themselves, which can occur no matter if the computer is on or off. If you're shutting down your machine just to plug in or unplug a monitor, you're wasting a hell of a lot of time for no reason. I wish people would stop fear-mongering about things they know nothing about. "Basically monitors and graphics card are not designed to be swapped around while the computer is on." I'd love to know from what "professional" this "recommendation" came from that you're not supposed to swap monitors with the computer on. And no, lawyers doing CYA don't count.