NO! I eat healthy carbs in the form of veg btw but I do not carb up.
I just completed a 2.5 hour competition fingers were shredded, toes were cramped and my muscles were seriously pumped - all this on a primal diet.
I believe on the day I ate a BAS for lunch about 3, grabbed a handful of nuts before the comp, climbed from 7-9:30 came home and ate diner.
In the summer I was down in Canmore, had bacon and eggs for breakfast, at 7:00 30 min walk into the crag, climbed till 2 then a 30 min walk out for lunch.
In other-words adapt to a primal diet and you will be more than fine.
Eating primal is not a diet, it is a way of life.
Don't forget to play!