How is the procedure turn better?
All the maneuvering is done prior to the FAF, and prior to descent.
Offset by the significant increase in the amount and difficulty of
maneuvering required. I agree you've shown it to be different. I don't see
how it's better.

It's better because it's safer. There is no real increased difficulty -
one standard rate turn is like another, and making a longer turn is no
harder (unless you fall asleep during the turn, then the landing is much
harder!).

When you make the turns used for the full procedure, you end up right
where you are supposed to be. But if you make a turn to final that
takes fifty degrees, you will =not= be on the FAC. You'll have lagged,
and have to squirrel yourself back to be on course. You're also
approaching the MAP and descending.

This is harder.

Or you can anticipate the turn. How much? Well, (fudge fudge fudge)...
This is harder.

Maybe not harder enough to be =unsafe=, but harder enough that, combined
with proximity (to the ground and the airport) it is less safe.

Jose
--
The price of freedom is... well... freedom.
for Email, make the obvious change in the address.