I have experimented a bit with the blocks and they seem to get called on the main thread, which means that any UI changes can be made there. The code I have used to test looks something like this:
func reloadPosts() {
PFObject.fetchAllIfNeededInBackground(posts) {
[unowned self] (result, error) in
if let err = error {
self.displayError(err)
}
self.tableView.reloadData()
}
}
if you are in doubt about whether or not the block is called on the main thread you can use the NSThread class to check for this
print(NSThread.currentThread().isMainThread)
And if you want it to be bulletproof you can wrap your reloadData inside dispatch_block_tto ensure it is on the main thread
Edit:
The documentation doesn't state anywhere if the block is executed on the main thread, but the source code is pretty clear that it does
+ (void)fetchAllIfNeededInBackground:(NSArray *)objects block:(PFArrayResultBlock)block {
[[self fetchAllIfNeededInBackground:objects] thenCallBackOnMainThreadAsync:block];
}