Also just to add, If he did start providing evidence as to why he didnt break the laws (UK/US), it would show that he has a reason to extradited. (in order to defend the claims against him)

"His extradition hearings are based solely on proving he has a case to answer in the US" - [1]

"O'Dwyer cannot present an in-depth response to the allegations he faces during his extradition cases, as these need only prove he has a case to answer and the actions" - [2]

[1] - http://www.guardian.co.uk/uk/2012/jun/24/richard-odwyer-extr...

[2] - http://www.guardian.co.uk/uk/2012/jun/24/richard-odwyer-lega...