“Wood is the type of lawyer that REALLY believes in his client’s innocence before he accepts a case and he wouldn’t permit Cain to dance around the truth in a presser (not that Cain would anyway).”
I assume Wood already watched Cain pass a polygraph before he would allow him to agree to a future polygraph in a press conference.
Very possible. Either a polygraph or Wood knows his own internal lie detector is infallible when it comes to selecting clients.