Proof State Quarter Error(S)

Greetings all,
This should be the 1st of many posts.
Here's the burning questions. If proof coins are generally hand picked and checked after each pressing, how do seriously errored proofs make it out of the mints? Question 2:
Are the San Fran (S) mint marks created in the die so that the pressing is done in one pressing? I am assuming that the proof coins are all made in the same Mint, and not sent out for the mint marks as in earlier coinage?
Okay one more Question, the serious one:
I have been researching the Doubled Die Vs. Machine Doubling. According to this article * Link Removed by Staff * a true doubled die appears like this:
The serifs are split, and sharp (relatively).
There are "valleys" between the original and newer "images".
The secondary or original "image" is raised and rounded.

Whereas the Machine Doubling appears like this:

The serifs are rounded out (smashed).
The secondary or original "image" is smashed flat and shelf-like.
There are no "valleys" between the original and newer "images".
The edges between the 2 images may be shiny because the metal has been sheared.

I have a Proof 2000 S Mass State Quarter, the Doubling is exactly how the the website describes a true doubled die. There is no "Smashing" of the letter/Numbers underneath, everything is very sharp and crisp, No evidence of smearing. The face shows good doubling as well, Under the nose, the neck, the ponytail. So what are the odd of this being a trouble DD on a proof?


Here is a scan that I had to cut in half to cut down on the size. I know they are poor, But you don't have to look very hard at it to see it. Digi pics coming soon.


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