I wonder how that Furman was able to shut down. I'll bet that a fuse was involved.
No, the SMP module will turn off when the voltage falls below 80V or exceeds 140V. Some of the conditioners have a red LED that flashes when EVS (Extreme Voltage Shutdown) is active. When the voltage returns to normal you just turn the unit off and back on and everything is good to go again.
That's a picture of a Monster Power MPAVS2000 that was in my office about 2 weeks ago when we had a brownout. A local transformer blew up or something. The meter on the far right shows the current load on the unit (there was nothing plugged into it at the time which is why it shows 0), the center meter is the amount of voltage correction being applied to the line voltage (+38.9v in this case), and the meter on the far left is the peak output voltage after correction (114.5v that day). 114.5-38.9=75.6 volts coming out of the wall. I also have a Furman Elite 15i in the office which is a home theater packaged version of one of their conditioner and it's red Extreme Voltage Shutdown LED was flashing the entire time the wall voltage was all screwed up. When the power returned to normal I just turned it off and back on and the Furman was reset with no problems. I've never seen one that has been hit with a large surge but its design makes it behave the same way. They're very tough.