If I was on my office steps watching the president....
Not one co-worker ever saw LHO watching the motorcade outside. The building supervisor, Roy Truly testified that he conducted a quick head count and noticed LHO missing and police were told. The other employees were accounted for. Eyewitness Howard Brennan saw a man with a rifle in the 6th floor window and quickly notified a police officer. Both their testimonies can be found online. He was tracked down in a theater with a gun resisting arrest. LHO may have been a patsy, but there' s no mystery why he became suspect.