I don't think lie detector test results are admissable in Louisiana courts and I highly doubt BSL's attorney would agree to one being administered.
Although, in this case, I wish LE could put him on a plane, fly him to Saudi Arabia or Israel and have him interrogated by those guys. They...
I thought the same thing about his wallet falling out at WB but if that was the case then LE would have known it was BSL around May 26-30 when they found her bike and searched....that is unless they didn't find the wallet until later on.