The spot in the book I was referencing isn't about timing for sight alignment, it was referring to achieving proper torque. Whenever I install a used barrel, I always use the bench vise first - level off the bayonet lug with the barrel upside down, then use a dial level off the bottom of the receiver with it hand tight. The spec for the rest of the take up is min. 8deg, nominal 10-15 deg. No need to scribe marks and measure with a cheap dial level, but as I was reading 3 to 5/16" take up seemed like an awful lot, and it was too easy to confirm. The point of the exercise in my process is that a used barrel will often have little to no draw, and will need the shoulder's edge lightly peened. It's much easier to take it in and out of the bench vise for this than to spend the time getting the barrel vise all setup just to realize it has to come out and back again. The barrel I was about to install had less than 5ish deg. to go. This too can be eyeballed close enough with enough experience. New barrels can sometimes draw 20-25deg or more and seem impossible, but this too can be fixed by drawing up tight, backing up, tight again, rinse and repeat until you are in range.
I was gifted a good machinist level and the fancy badger ordnance jig last year. Jig is still in the unopened box. I have always used a 24 inch drill rod through the rear sight ears, and another across the front sight flat and then align by eyeball. Range tests have consistantly shown this is good enough, but I was looking forward to breaking out the jig after using my drill rods to see just how perfect or imperfect I have been.
Also, the sight alignment spec is said to be max of 20' (minutes) of true. Seems a lot at a glance. If I had sight height and radius in hand I wouldn't be able to resist translating that to downrange impact.