well, this is key
In his testimony he says he never heard that JFK had died (until a secret service man tells him at the TT arrest and it was just a rumour and not confirmed)
Now between 1pm and 1.30 the world was waiting (especially in Dallas)
for the news.
JB had the radio on and never heard the news
A priest was confirmed to have arrived to see JFK at around 1.20pm
His death was officially confirmed at around 1.25 onward all day
but JB never heard that on the radio
There is much more evidence than that