I'd be cautious using a drill/power driven allen bit. The wood in my trestles is not the hardest, and I can see where too much power too quickly could damage it before one's reaction time caught up with events. If you are cautious, things should be fine. If you just set a torque limit and fire away, you could end up unhappy.
I'd think before using it for IKEA assembly, though. For the trestles, the screws required significant torque to penetrate. Applying that repeatedly for these not too short screw, by using one's wrists and a screwdriver grip, I imagine would quickly become tiring. A nice thing about the IKEA "throw-away" wrench is that its S shape allows one to create significant torque with a finger grip, lessening strain on / torsion of the wrist.
IKEA should develop and sell a better allen wrench.