Balanced view
OK as long time North Rim fans but who recently visited South Rim:
1) North Rim is alway less crowded. If you boondock then lots of site in vast surrounding National Forest. If not then it's either get a spot in the park service camp or camp at Jacob Lake which is more than an hour away. Good trails and views but not as good as the south. Stores.very far away, small store at Jacob Lake. Shuts down mid October. Not sure but nearest fuel may be in jacob Lake don't recall gas station inside park but there may be one.
2)South Rim:Swarming mobs unless you camp either early (April or earlier) or late: maybe late September and on. Lots of camping in the NF and lots of in park and commercial camps. Stores near by. Great views, lots of scenic pullouts and other places like museums and such. Commercialized. Open all year. Fuel available