A real leader would have stayed in the background on May 1, 2011.
A press conference initially would have been held by a low-level functionary in a Pentagon basement conference room. Slightly later, higher level generals or JCS would have gone public with more details, and praised the SEAL team for their success. The White House would issue similar statements, but a real President would not speak about it publicly for 3 days.
Obama the PR whore, in his rush to gain any political capital he could, rushed out that evening in suit and tie, to get the most credit he could for himself. At the same time, giving UBL much more status than he deserved.
Following from the behind is not not leading.