Wow, nice low mileage find!
The concern may be that the good odometer reading makes people ignore some necessary upkeep/maintenance still required after 15yrs and various known items to keep 3800's happy for the long haul. Gaskets compromised on the top-side of the engine may be the culprit (upper/lower intake, valve covers, etc.), causing the oil to be leaked out or drawn into the intake passages slowly over time.
Overall, this would be about $100 in gaskets/fluids/etc. and a weekend of effort at slow pace (afternoon for someone who's done it a bunch).
Another test before cracking any bolts loose would be compression checks, to make sure things are sealed fine in the piston region, still. I'd suspect so, but doesn't hurt to look.
Other, deeper gasket/seal issues could be front and rear cover/seals and oil pan, but that's not typically the primary issue on these, usually.