Peter,
You are right, the beau was faster and it packed much more punch. It's a historical fact that the nimble japanese floatplanes (Pete or Rufe) loose the game. More about this
here sometimes the floatplanes did manage to survive :
4 June 1943
“Five Petes and one Jake were in the air with five more taking off. The floatplanes were very maneuverable and, as soon as they were in danger of being attacked, would pull up into a loop or roll away, maneuvers which the Beaufighter could not follow.”
21 August 1943
“In another raid on 21 August, Gardiner and Lyne in A19-47, Leithhead and Graves in A19-63 were acting as top cover at 2,500 feet for four others. Both apparently sighted a Pete taking off and both pilots, concentrating on the floatplane, collided, crashing into the sea 400 metres off Taberfane village. At this time, it was noticed that the floatplanes now in use had a better performance than those previously encountered and could keep pace with the Beaufighter.” p. 99
But anyway, japanese biplane floatplane are something special for me, ...so I'd like to take the challenge. Boom and Zoom vs Turn and Burn.
Lolo