Having tried both extensively...
Vox tonelab LE, sounds very open for a multi fx, one of the better tones of all the mutifx and, dare i say, a hint of warmth. Not much effects (adequate for me as i dont use much, delay, chorus, ac simulator etc), but there is an effects loop for you to take advantage
Korg ax3000g; distortion sounds cold, I can't even remotely say anything positive about the distortions. There are alot of effects though, and is relly a fun pedal to play with effects, if you can ignore the cold, noisy distortions and overdrives. It is cheap.
FYI the Vox tone le's effcts are by Korg. Its in the manual. I think.