i'm curious if any experts know if switching from a thick cup campy BB (with rifling) to thin cups will allow the slightest bit more space between the crank arms and the bottom bracket cup?

i have a colnago that came with a sugino BB that i swapped to a thick cup campy BB (this is before i knew about thin vs thick wall BB) and the non drive side crank arm is almost bottoming out (i've got about 1mm gap) if i swapped to a thin walled BB will it give me a little extra clearance?

thank you in advance...