I te tau 2006 ka hoki ano a Davidson ki tana mahi hei taraiwa whakamatau mo BAR, kei a Honda inaianei, ka whakaingoatia ko Honda Racing F1. I te mea kaore a BAR i uru ki roto i nga kaihanga e wha i te wa o mua, ka taea e Honda te whakahaere i te waka tuatoru i te Paraire, ka nui ake te mahi a Davidson i te tau 2005. I muri i te mahi i etahi korero irirangi mo BBC Radio Five Live, i te tau 2006 i tiimata ia hei kaikorero pouaka whakaata, e tu ana mo te kore o Martin Brundle mo ITV Sport i te Hungarian Grand Prix
, i riro i a Jenson Button me te kapa Honda. I te tau 2008 ka hoki mai a Davidson ki Honda hei kaihauturu whakamatautau mo te whakamatautau i te Circuit de Catalunya o Spain i te wa e whakataetae ana te kaihauturu whakamatautau a Honda a Alexander Wurz i Le Mans.