Several cops told the same story months later. It must be true. 
Not only "cops" but also an FBI agent and a Postal inspector, did they all get together beforehand to get their extensive testimonials straight? Don't you honestly find that completely absurd, but I guess whatever it takes hey John?
And let's look at what we learnt from the "months later" testimonies from the guys who were trying to frame the long dead Oswald;
Oswald denied owning a rifle
Oswald denied being in the backyard photos
Oswald denied admitting to Frazier that he went to Irving for curtain rods
Oswald said he bought a revolver in Fort Worth.
Oswald denied putting a long package on the back seat of Frazier's car.
Oswald said that he only had his lunch with him that morning.
Oswald said he was having lunch at the time.
Geez John, "months later" the narrative was well established yet these guys collaborated to say the above??? LMFAO!
JohnM