I sometimes carry a SA LW Compact. I wear shirts with the tails out most of the time. A good pancake holster like the I-BAK or similar holds the gun close to the body, and I have not had a problem concealing the gun.
A difference is that the Commander has a full size grip as opposed to the Officers size in the Compact. The grip is the problem with a 1911 and concealment.
It is important to get a cant that has the grip as much along the vertical axis of your body as reasonable. While the IWB would conceal better in some ways I find the OWB more comfortable and not a problem to conceal if I dress around the gun.