Not surprising at all.

This area is very similar (if not identical) to UPS's (modified sine wave vs pure sine wave).
This link shows oscilloscope views of sine waves of various UPS's and Generators that shows the differences between modified sine wave, and pure sine wave UPS's, and inverter vs alternator generators:
http://www.jkovach.net/projects/powerquality/
The differences are obvious. Power Supplies (used in electronics, including computers and microwaves), expect a sine wave at 60Hz (or 50Hz, depending where you live). Now nothing is perfect, and electronics are built to handle variations, but not by much. Essentially whatever is not a pure sine wave, the power supply has to account for. This is by drawing more power if its a sag, or "eating" power if its a spike (using layman's terms).
Power supplies all have different limits. That's why some computer power supplies will not run on basic UPS's while other's will. But what is universally true is that is much harder for a power supply to filter and work with that sort of power. Some power supplies will not have a problem with it (well designed computer supplies and most TV's will compensate, but run hotter), while cheaper power supplies either won't run or fail completely (wall warts tend not to work)
For electric motors it depends on what kind of motor it is and how well specc'd it is. Doing rough math on a pure sine wave vs a modified sine wave, most electric motors will have either a 20-30% power reduction, or have to work 20-30% harder to produce the same amount of power. An over-sized electric motor won't have a problem with it but motors that are not designed to operate with such a reduction can burn out since they will run hotter in the first place. This reduction will not be as bad off of a generator vs a modified sine wave UPS, but there will be a reduction. A generator must be sized to account for these losses as well (A 5000 watt motor load for instance would require 5500 watts to do the same amount of work on a standard, alternator ran generator).
To the OP, there are also forums for campers and other activities where people will talk about the load trying to run on a generator and mention whether it was successful or not (or caused damage). Can always try there