Poor service just to get the cover, what will the rest be like?

After applying for life cover for my family, my son, who has Type I diabetes, was declined by the policy, not even asking some questions or investigating the matter. After enquiring, they requested a medical report (which is understandable). After some more emails, they eventually contacted the doctor for the report, including claim forms (since they are paying for it, which is nice). The doctor understandably sends the report when Discovery pays them; more than a week after the doctor's office acted quickly on the request, Discovery still lags behind the payment process. Can this process take this long, and do they really want my business? I am at the point of taking all my Discovery business (bank, insurance) to another institution.