Michael was so pathetic in III, calling out his murdered brother's name "Fredo! Fredo!!" Doesn't ring true to me. That was Al Pacino acting as "Al Pacino," not Al Pacino acting like "Michael Corleone." Pah!
If you think that, then you are missing one of the major themes of III - his struggle to reconcile the two Michael's one of which had murdered his brother. Calling out his brother's name was also a function of the deleterious effects of a diabetic stroke.
And to add to what PB and others have opined, Connie needed to lie to herself.
