The Shootsac CANNOT hold the 16-35 with hood (reversed or not).
The Shootsac can hold the 24-70 with hood (on and reversed).
The Shootsac can hold the 70-200 with hood reversed but not with hood on.
The Shootsac can hold the 16-35, 24-70 and 70-200 without hoods. But it is so bulky, and so heavy, you're better off not using this combination as you'll end up with a VERY sore shoulder. And all 3 lenses are so huge its not a matter of 'drop, pickup and change', its more of 'try to squeeze the lens in, try to pull out the other lens, and change'.
If you want to change lenses quickly, you wouldn't reverse the hood before putting your lens into the bag and you wouldn't have to put the hood on properly whenever you take the lens out of the bag. You want your lenses ready to shoot at all times.
The Shootsac is great for Primes, the Boda is great for both but can store less things, the TT Retro Lens Changer 3 is perfect for Primes and for huge Zooms with or without hoods.