You still need to remove the distributor shaft to remove the pickup coil on the newer star-type distributor.
Here is a picture of a star-type distributor that's been mostly stripped:

There's a stamped steel cup with a pocket in the middle. The pickup coil is placed into the pocket, with the leads going through the openings in the stamped steel cup.
Once the pickup coil is in place, the shaft+star assembly can be inserted:

The rotor happens to be on the shaft in that photo, but the rotor can be installed towards the very end of distributor assembly.
Unless the shaft is removed, the pickup coil remains trapped beneath the star.
The fixed pole-piece with 6 inwards-pointing triangles is secured with three screws, which thread into the stamped steel cup.
The magnet lies below the fixed pole-piece; it is like the middle layer of a sandwich.
Below the magnet (i.e. the bottom bread of the sandwich) I believe there is another layer of steel, used to help guide the magnetic field lines from the magnet into the cup.