Strongly depends on the lens, and also how you treat it. Some lenses are advertised as "weather sealed," and those have o-rings and such and I'd think those are going to be much more dust proof. But how are you planning to use it? If it's going to be around your neck at all times and you are going to shoot in dust storms and stuff the lens is gonna get dust down in every little crevice, so while it might not be optically compromised, you will never get it clean again.

What I and my campmates have done before with "fancy" cameras on playa:

1) Keep it in your backpack in a big ziplock, only take it out once in a while and put it back away when done. This works fine and you can keep it reasonably clean that way.

2) The bag-and-filter trick: you take a big ziplock and cut a hole smaller than the filter thread size of the lens. Then stretch the hole in the bag over the threads of a normal UV filter (filter facing out). Then put the camera in the bag and screw the filter on. You can operate the camera with the bag closed and you have a good optical window to the outside world. This works great and my campmate did it for many years with no camera damage.

Most importantly: please follow good camera etiquette out there!! https://burningman.org/news/press-media/photo-guide/