Insulin is the key to anabolism. If you can control it effectively by chosing the right macronutrient combinations at the right times, then you're set to grow regardless.
The key is really a balancing act. For the best growth, you tend to need more carbs. That's just the way our bodies work. Sure, you can grow on lower carb levels (especially if you eat all your carbs in meals following your workout), but the growth tends to be slower.
This comes back to your goals, how you want to achieve them, and the time you're willing to devote...