Oswald saying he went outside to "watch the parade" does Not automatically make it a True statement.
No, but it constitutes proof that his claim was suppressed by the authorities. Why would they suppress a false alibi?
I find it curious when charged with shooting JFK that Oswald did Not immediately claim he was standing on the TSBD steps when the motorcade went by.
But that's
exactly what he'd been claiming in interrogation! The note
proves this.
Unfortunately there is no footage of Mr Oswald's being charged with shooting JFK, so a claim as to what Mr Oswald did or did not say is baseless.
He also could have used Frazier to corroborate his being in this position. Frazier was close enough to reach out and touch Prayer Man.
And later that night Fritz was close enough to reach out and hit Frazier (as Frazier still recalls with some bitterness). Frazier was threatened with a charge of conspiracy to murder JFK. He was utterly terrified.