There is no difference in the bb shell between a frame that requires an e-type and one that doesn't. Both will be 68mm.
The difference is that the e-type front derailleur must be mounted between the flange of the fixed cup side and the bb shell. The thickness of the e-type mounting plate is 2.5mm.
On a comparable length BB, there will be 2.5mm less axle extending past the flange on the e-type to accomodate the 2.5mm plate, so it will seem offset.