I fried my Can Tire PSW 100Ow (I got in early 2012) recently trying to run a 700w Danby Microwave that wants 1050W input too many times.
It did it for a while, showing its overload light at 1050w, so I thought I was in the clear, but eventually it just quit. I took the cover off and there was a bunch of black-looking area around a place on the circuit board. RIP inverter, sob. :(
However it ran everything well that didn't overload it, such as a toaster and a kettle at more like 900w.
I don't know anything about surge times or amounts for motors. ISTR battery drills have chargers they will fry on MSW, and they warn you about that in the MSW inverter manuals.
My 2000w Vector MSW inverter says it is specially designed to run motors with surges, and it does, including microwaves (but at lower output power for a microwave due to the MSW input) It also runs my 120v power drill but at slower revs.
This showed up when I got a little water pump you attach to the drill that has a hose into the water bucket on the ground and another hose that goes up into the trailer's water inlet. With PSW generator or shore power it pumped just fine, but on the MSW inverter with the slower revs the pump could barely lift the water out of the bucket up into the trailer.