My first integrated headset frame was a Litespeed Sienna frame. It will be my last integrated headset. The headset would not stay tight even after one ride on a smooth bike path. The frame went back to litespeed several times and they eventually gave me a new frame because it was so bad. It too was an integrated headset so I sold it as a new frame never used. I bought a different make frame with a standard headset and have not had a problem since. I recently noticed most if not all of Litespeeds new frames are non-integrated headsets. Maybe they had more problems tha just mine, I don't know?
I also have a 2002 (I think) Giant TCR with an integrated headset and have not had any problems at all, so who knows. I highly doubt anyone on this forum would benefit from any aerodynamic difference of integrated vs. non-integrated.