I have commented on this before on another Topic a While Back, and my view has not changed since.
I think the Crossing we got was better, while not as detailed. I find this earlier draft to be very Flawed and Poor. Its where do i start.... it really showed to me that John Logan was not the RIGHT person to really work on Alien Covenant. This Crossing early draft had a lot of things thrown in for the sakes of Convenience. Such as a Water Room that Dr Shaw could Conveniently bath in, and gain Water for her to Survive off, a Room where Fruit Grows for the Convenience of her being able to Eat. A Place/Device she could COOK meals.... i mean come on... did they not pay attention to the Juggernauts Schematics, and Purpose this is a WAR-SHIP, a Ship that Bo-Doubt can Travel Vast Distances (Why Else have Maps to other Galaxies) and so the indication we had was the Engineers load up with Bio-Weapon Cargo and then its either a Short Hop to their Destination, and any Travel that takes more than a few Days we can assume they go into Cryo-Sleep and awaken when they arrive at their Destination... Bombard Planet and then back into Cryo-sleep for the Journey Home.
I cant picture the Engineers staying awake on these ships, having Showers, Drinking Water and Eating/Cooking Fruit!
Other Flaws are such as Davids Head Floating around a Engineer ship for weeks, months while the Ship is traveling at FTL!
The Convenience the Ship has a Device that can be used to Harpoon onto objects in Space.
Then we come to David, and how Dr Shaw grew angry/fearful of his actions so she threw his head out the Ship, and had a distrust for him, and then she got persuaded so easily and then went on to have a Intimate Relationship, where when they then FINALLY arrive at Paradise, David is like Thanks for Putting me together and the SEX, i dont need you no more and SNAP! Breaks her Neck!
I dont find much of this Draft that good, and i think its kinda Lazy and Unimaginative, Full of just Convient Elements to drive a Plot...
The AC Prologue was much better and The Crossing we got too, i Guess Logan had a great deal to do with these, so he needs some Credit for that.