I think for the batted balls, the biggest issue for Fitz (especially for the wr / te screens) is the end man, typically the tackle, on those quick passes has to either cut the defender to keep their hands down or widen them out to give him a window to throw into.
For Fitz's end of the bargain, he has to either get out of the pocket for those throws or just time em a second quicker. That's just my humble opinion, so take it as you will!