Agree that the HbA1c can be misleading. Jess often had what was considered a good result, but she achieved that by having lots of lows to balance the many highs that she was experiencing so in my way of thinking that wasn't very good control. With the pump so far her HbA1c has been better and I feel much better about it because it's a result of steady readings rather than lots of swings from high and low.
We too had problems overnight with hypos and high readings in the mornings before breakfast, the pump has solved that problem for us which has been great.
Pumping is not good for everyone so think about it carefully. It's a lot of work so you want it to make a positive difference, no point getting a pump if you don't feel it has a good advantage for your daughter. It's a tool for better control, if you don't need the tool and feel your daughter is doing well on injections, then don't get a pump. If you feel it's going to be useful in getting better control, then definitely go for it.
For us, especially with activities after school, sports etc, and of course overnight control, it has been fantastic and well worth the change.