Some comments:
1)
Picking up a crew makes also sense in "Niemannsland" nobodies-land, or even in german-hold-area, if the place is far away from anything else, to make the crew return earlier then by car/Storch/etc. And the area around Stalingrad was pretty empty afaik. Where exactly did the emergency ladnig take place?
In any case, it is well possible that the (still advancing) german troops made (re-)possession of the emergency-landed "9K+AA".
2) Every statistic contains errors, even with our modern computer systems. Reason: These animals on two legs
. On the other hand, I also heard about germans deliberately falsifying their loss figures (but without proof so far). Also it seems illogical: If a nit looses more then it reports, it would have no A/C left after some time of doing so.