Observation of 1900 American Eagle Lugers suggests that the first 200 AE Lugers were furnished with Swiss proofed barrels...probably an over-run from the Swiss contract. Recorded information on serial numbers 2019, 2021 and 2070, which bracket your find, have Swiss proofed barrels, so the probability of 2029 also having a Swiss barrel is pretty high.
After checking around on the Internet, it appears that the asking price is reasonable given that is all matching (except for the mag). Let me put it another way...if I was not retired and had a steady income I would buy it (subject to a 3-day inspection). Of course, I am a bit of a nut when it comes to early Lugers, so take that into consideration

.