Can you get officially diagnosed as non-diabetic by reducing your HbA1C? (It wouldn't take much). Alternatively, if you're overweight a reduction in weight might get rid of the OSA....
Don't know about the insurance company, but maybe if you go through a broker they'll help????
EllieM - whilst being reclassified into one of the remission/resolved categories might help, in any instance I can think of the questions related to materially important data on forms such as the OP will have completed, the question is, "Have you ever been diaganosed with x, y or z", not whether you are currently suffering from said conditions.
@Neilysqueely - you might have more luck with your applications after a few successive low HbA1cs and getting your other issues tightly under rein. Alternatively, once you turn 50, there are specialist policies available, without taking medical history into account. They generally have lower payouts and you must survive a set period before the cover takes effect.
If you have been shopping around for yourself, then an independent broker would be a worthwhile option, as they can research the marketplace on your behalf, without impacting on any assessments.
Please don't just keep trying for yourself, because serial declines impact how others will view you; a bit like your credit rating dropping if you keep applying for and being declined loans.