Also, the first point in the FAQ is wrong. The airport guys don't mind commercial aviation at all, and in fact, have a list of charters on their website http://www.portofentry.org/?page_id=2 The second point is mostly wrong, in that the airport tie-down area is outside the trash fence, but definitely inside the BM closure area, and anyone inside that area will get noticed and caught by either the BLM or BM Perimeter crew.
Just occurred to me there isn't any fuel there, either. Nearest airport with fuel is KLOL, which is 50 miles away and has 24-hour self-serve 100LL.
No paved runway, unfortunately. Also no sort of control tower nor air traffic controller. And skydivers still don't get into Burning Man for free.
The vast majority of airports are non-towered. The playa is about as perfect a surface to land on as you can imagine. The main difficulty is figuring out how far you are above the ground, but if you set up a proper approach, it doesn't really matter.
They do take a bunch of water trucks out there and spray down the dust to "harden" the runway before the event, so it should be marginally better than landing on bare desert.
If you're interested flying out there contact some pilots who go yearly and they'll give you the run-down :)
Seems like flights out to the Playa would have been a great promotion for a service like BlackJet (Uber for Private Jets).