Wrong. The evidence - you know the stuff that you avoid -- shows that he shot no one on 11/22/63.
This doesn't mean that he couldn't have been involved in some way though.
This is one of the biggest falsehoods that LNers tell as the vast majority of CTers do not proclaim LHO to be totally innocent. We truly don't know what his true role was in the events of November 22.
My view is that Oswald probably did it, and 5% that he might have had help, but only indirectly, as an off-the-cuff remark seemingly made in jest by George deM regarding the Walker attempt.
Disappointing events in those final days in Oswald's personal life, combined with Oswald realizing the motorcade would be swinging by his place of work, with Kennedy practically falling into his lap-- a 'sitting duck' as some visitors to tiny Dealey Plaza have remarked--might have, arguably, combined to spark Oswald into a kind of 'Hail Mary-take-a-shot-at-history-attempt' on Kennedy.
Too bad for you guys that people involved forgot their measuring tapes and electron microscopes at home.