Obesity and laziness are definitely significant risk factors for T2DM - But they are not exclusive, and there are others, which are arguably equally important :)
wrt the type of Steve Redgraves Diabetes, it would appear wiki is wrong in this regard.
From the paper produced by the consultant who treated him at the Chiltern Diabetic Centre
"The random blood glucose was 25 mmol/l associated with moderate ketonuria, but no proteinuria. The results of investigation suggested
a diagnosis of type 2 diabetes with a negative islet cell antibody titre and detectable C-peptide."
And a link to the paper itself, discussing presentation, diagnosis and treatment
http://www.clinmed.rcpjournal.org/content/3/4/333.full.pdf