I've already answered your question in the clearest terms possible, Mr Nickerson: Mr Oswald may have lied. Now you want me to pretend to have sat in on Mr Oswald's interrogation or to have listened to non-existent (or, as you would say, 'obviously missing') audio recordings of what he said? Good grief!
"May have" is not the clearest terms. You don't have to have sat in on Oswald's interrogation to know whether Fritz, Kelley, Bookhout, and Holmes said what they said or not. All of their statements are a matter of official record. Were Fritz, Kelley, Bookhout and Holmes all lying when reporting that Oswald denied bringing curtain rods to work that morning? Yes or no?
Why would 2 curtain rods taken from the Paine garage four months after the assassination be sent for testing for Mr Oswald's fingerprints?
The two curtain rods taken from the Paine garage were sent for testing to see if it could be established if Oswald had ever handled them or not. It's related to the same question as to why they were even interested in the rods at all.