I think many people think a low carb diet is "restrictive." I don't. Kids will eat what you put in front of them. I rarely find my kids asking for carbs when I serve them a low carb meal (and they aren't diabetic) It really sounds like your child is doing very well, you don't say she is complaining and feeding her a low carb diet from primarily non-processed foods is in my opinion a great choice.
I have sympathy for your quandry, it can be difficult wading through conflicting opinions and trying to make the best choices for your child. Unfortunately, most dieticians and diabetes educators are not well informed about low carb diets and ask you to adhere to a recommendation that you have to eat 45-65% of your calories from carbs. And if you insist on a low carb diet, often these professionals don't know how to help you with the low carb choice. It seems that your diabetes center is advising you to avoid "ketosis" (what they are calling starvation metabolism). Ketosis is actually a natural state, everyone goes into ketosis overnight when they fast during sleep. Despite claims from these, ketosis from fasting and a ketogenic diet has nothing to do with DKA and is not a harmful condition and does not lead to stunted growth.
In fact, Bernstein argues that stunted growth in T1 children is usually caused by excessive blood sugars which causes significant metabolic disturbances and poor uptake of nutrients. If your daughter was truly "starved," she would not have an increasing weight. In fact, I've never seen any evidence that low carb stunts growth. Kids grow in a highly variable way and are prone to spurts. Carbs are not needed for growth, but a range of nutrients are. But all those nutrients are found in abundance in a diet rich in meats, seafood, dairy and non-starchy veggies. Eating a couple of extra slices of fortified bread with breakfast and lunch will add nothing.
Now as to the I:C ratio, again I think you have been given poor advice related to low carb diets. A 50/50 basal/bolus ratio is an acceptable range for a diet with 45-65% of calories from carbs, but not for a low carb diet. With a low carb diet, you reduce carbs, reducing the total bolus needed and your basal/bolus ratio changes. Mine is more typically 70/30 to 80/20. Think about it. If you cut half the carbs from the educator recommended diet you would need half the total daily bolus and since your basal would stay the same you would need a ratio more like 67/33.
So there may be two things going on with your daughters mealtime insulin. First, if you are feeding her constantly through the day, your mealtime/snack bolus may actually be acting as a daytime basal. You might look carefully at her basal levels and make sure they are set properly and that you aren't using daytime bolus to replace basal levels that are too low. Second, with a low carb diet you often have to start accounting for protein and meal size in the calculations. I count half the protein as glucose as recommended by Bernstein. And when you have a large meal (which might not actually be "large" for a six year old), the stomach distension itself can cause a blood sugar rise which requires insulin to offset.
In the end, you will have to try to listen to the advice from all the sources, even the contradictory advice and then try to make the best decision.