Okay, keep in mind that my group is anything but beginner (either at the FFG engine, in terms of experience points or in regards to RPGs in general), so we are NOT the target demographic for the box. Also, I used the boxed set game as a smaller portion of a much larger game. So, given all that. . . .
They stole the freakin' walkers in the garage at the start of the game!
Okay, one more further point of clarification - my game is some 4,000-ish years before Yavin. So instead of Imperials, they were Mandolorians and instead of AT-STs they were Basilisk War Droids. But the end result was the same: they were doing recon on the base, saw the War Droids in the garage and instantly went "I want one!". So when they cut the fiber transmission line to the Comms array and the guards came running to investigate, they ran right into the gun sights of the freshly rebooted War Droid.
It went poorly for the Mandos after that. . . .
The War Droid really didn't have an effect on the rest of the game beyond that initial fight and waiting outside for it's new owner to return. But they did get it on their ship and all the way back home, where it now sits on the corner roof of the bar they own.