Things are a little different where I worked. The top and back plates are stamped from coil stock instead of being cut from a rod and milled. The core/backplate and the basket/top plate are staked instead of screwed although some baskets get screws also.
The soft parts go a little different too. Coils are wound beforehand and the tinsel lead is already attached so you don't have to put a soldering iron on the cone. The first station of the final production line is a 2 step where the coil and spider are attached using a gauge to set the depth correctly. It is also the shim for the coil. Then the assembly is glued in the basket. Next is the cone and the tinsel leads are lead through holes already punched for them and they're attached to the terminals. Then dust cap and gasket are put on. Then it hits the magnetizer. Putting it at the end means tool aren't sticking to it all the way down the line. At the end of the line is an oven called The Demon that cures the water based adhesives.
From there they go through a test booth where they are all swept by ear and a certain percentage are measured and then they are packed up.
There are lots of different ways to do it, that's how we did. As an engineer in the lab I was required to work every job on the floor when I first started. There were some jobs that I just could not keep up with. If I had been there for a final line job I wouldn't have made it through the first 2 weeks.