By lots of witnesses you are referring to earwitnesses. Again, the eyewitnesses tell a different story. JFK reacts to the first shot. Do you think all the eyewitnesses were mistaken and only earwitnesses can explain the assassination?
There were many witnesses that shot-1 was near the signals.
Saw jfk lift his hand when hit, due to shot-1, near the signals.
Heard jfk say my god i am hit, due to shot-1, near the signals.
Saw something hit the road near the limo, due to shot-1, near the signals.
Heard shot-1, near the signals.