Yep, the SW1911 extractor is the same design as the 3rd gen guns, meaning its held in place with an extractor pin and pivots around it, with the force being provided by a spring under the tail pushing outward.
Unless things have changed in recent years, the original SW1911 extractor was the same one used in the 3rd gen .40 guns, meaning it had an extra beveled cut behind the extractor hook.
Here's a pic of 3 sets of 3rd gen extractors. The Left group are the .45, the Right group are 9mm, and the middle group are .40. See the small beveled spot to the behind the extractor hook, just in front of the adjustment pad?
Here's a closer image, with the .40 extractor on the Left (9 on Right).
In the Enhanced models the extractor is the taller one from the older PC guns, and it has its own extractor pin (at least it did in the older Parts numbers I was given). FWIW, the SW1911 also had its own Bar gauge to checked the reach of the extractor hook into the breech face area, and its own tension (checked with the Force Dial Gauge sold to and used by factory-trained S&W armorers at the moment of 'deflection' - i.e. extractor movement).
I used to sometimes use an air compressor to blow out excessive liquids and debris from behind .45 extractors (wear safety glasses!), but an easier practice is to avoid exposing the extractor and its recess to them in the first place.

You're not washing a car when you clean extractors and the breech face next to them.
Since the solid extractor pins are installed using a heavy press, they can
sometimes be really tough to remove by hand (starter punch, pin punch and 8oz ball peen hammer). Like the 3rd gen guns, they come out one way and go back in one way, and it the hole is wallowed out and damaged, the slide can become toast.
Unless symptoms of an actual extractor and/or extractor spring are present, I don't remove them from the slides.
Just my thoughts, though.