Yes, it will can make a huge difference in performance in how and what you eat. When hitting mileage above about 30mpd you will likely hit the wall if enough of the right calories are eaten. In general your body is looking for carbs to use as fuel. In spite of what you have read here and elsewhere high calorie density food is not going to be the lightest carry. High calorie foods are also high in fat. So why not carry high fat foods. Because you are most likely carrying all the fat you need on your body that you will need to convert to energy. So a much more efficient food carry is likely the same food weight or less in carbs and some protein for recovery.
Here are real life examples from recent trips that I have done. While my mileage is significantly higher the same concept still applies. Vermont AT, 42 mile day. Time to hike 14 hours @3mph. Total calories consumed 4500. Every hour I ate or drank 300 calories of very high carb food and drink, mostly pure maltodextrin. This provided my body with all the carbs it could process and I relied on body fat for about 4000 additional calories. Based on extensive monitoring of food intake intake and weight loss on multiday high mile hikes I know that I burn about 200 calories per mile on typical AT style terrain ( about 10k elevation gain in the 42 miles.) I will typically burn about a pound of fat per high mile day and have been able to sustain this up to five days, haven't yet tested beyond that. I also did a healthy dose of protein at the end of the day for recovery. At no time during this day or the following day did I have a lack of energy.
As far as your trip, I have hiked or trail run the section you are doing doing 40 plus mile days. It has high elevation gain similar to the section described above. But with your lower miles you won't have to be as exact in metering in you calories or worry as much about optimal efficiency. If I were doing this section I would likely take the 3000 calories per day. Keep high carb during peak hiking times. I have not seen ANY difference between types of carbs, be it sugar, Malto or grains. I suspect it is due to the fact that I meter in the calories and don't take many if any breaks. This doesn't allow my blood sugar to spike and lead to a sugar crash. Without knowing your weight or body makeup I would target 200- 250 calories per hour. You are not doing monster mileage which leads me to believe that you are either taking a lot of breaks or moving at a slower pace. Either of these will reduce your calorie expenditure and also allow your body to burn fat as a higher percentage of your energy needs. Then finish your day with protein for recovery.
Again, do not look simplistically at calorie density as a measure for food. It is a prime example of stupid light and a mistake that I followed for a couple of years before a couple of wise folks on this board set me straight. To say that advise changed my hiking is an understatement, it literally changed my life by allowing me to hike the PCT in a very short window that I had open. Good luck and enjoy the AT.