I've never had to remove an extractor for cleaning. Must be the excess oil I use that flushes the crud out of the way and onto my hands/holster, wipe down rag/cloth. I don't shoot 10,000 rounds a year either.
A standard cleaning is just removing the slide, removing the recoil spring/guide, removing the barrel, cleaning, inspecting, lubing and reassembly. My CZ's are no more difficult than the M&Ps or FNS pistols. Do the SIGs have fewer parts to remove for a field strip clean/inspect/lube?