Insulin, or to be specific more insulin than you required at that point in time, is entirely responsible for hypos. Less insulin, if it is not actually required, will be assisting weight loss as insulin in excess helps fat storage and hinders fat burning.
Testing before and after your meals will give you more information that set time intervals. You want a rise of no more than 2mmol 2 hrs after eating. If it’s more then the meal was too high in carbs for you.
Rise in blood sugar can be food, sometimes delayed by fats for example. Also illness, liver dumps if it thinks it’s lower than usual, tiredness, some exercise, stress etc etc. Lack of carbs will never cause a rise except perhaps short term due to a liver dump whilst you adjust to lower (more normal) levels. Once the liver realises this I s the new normal it will behave better. Think of it as a tantrum.
Can you see the links below in my signature in red . Well worth a read for how to lower levels as a type 2.
Are you now on any meds?