High blood sugar on insulin doesn't really raise any suggestion as to type of diabetes. It just shows that the insulin you are on isn't enough to control your blood sugar. In fact, the insulin having not a lot of impact on your blood sugar might be considered to lean more towards type 2, because type 2 is associated with insulin resistance.
Things that might suggest type 1 include:-
- on the younger end of the spectrum on diagnosis (although that's a pretty weak indicator, because I think something like 20% of type 1s are over 50 on diagnosis)
- very high blood sugar 30+ on diagnosis
- dka on diagnosis
- sudden, untried for dramatic weight loss (I.e. Losing 10% of your body weight while eating more than normal)
If any of those things sound familiar, it might be worth asking for cpeptide and GAD tests to see if you can determine type. However, it's often not possible to get an answer on type and you are now being treated with insulin so I wouldn't have thought the type would now make any difference to your treatment plan.