Those UPS's generate an modified square wave output to "simulate" the sinewave that AC power normally delivers. The True Sinewave output is a true sinewave and not an approximation.
Gory details can be found here:
http://en.wikipedia.org/wiki/Power_inverter
Because Power Factor Correction depends on a nice clean sine signal they get confused by square wave outputs. I have run an iMac off one of those APC UPS's before but when it switches to battery there is a buzzing noise coming from the iMac power supply and sometimes it just shuts down. Highly recommend you spend the little extra to get a sinewave UPS particularly if you want to run reliably on it for more than a minute or two.