I don't believe they were doing performance tests so late in 1941. Most were done before, maybe there were some comparison flights, but German Bf-109E were already being replaced by the -F models by that time and those were a bigger theat for VVS.
However, I know that future ace Pokrishkin flew Bf-109E in a number of recce missions over Soviet occupied teritory, and that was most probably one of those obtained before the war. There was no onboard photo-equipment, I thing he had only a hand-held camera.
Those flights made him quite nervous (because he could have been shot by anybody-and shot if he bailed out and got captured), but he didn't state how the aircraft was marked (Soviet, German, or no markings at all).
Now, after seeing that "polished" E-3, allow me some speculation. It would make sense that recce aircraft is tweaked for speed (rivets and holes sealed or taped over, wing guns/cannons deleted). Since Pokrishkin survived his missions, most probably did his German mount-and this might be it (or, one of those used for same mission elsewhere).
Even unmarked, if Soviets applied some stipes or fields of paint in accurate position of German 109's in that time it would make it appear German. Now, I really don't remember where did he was undertaking those "clandestine" missions, but I thought it would be interesting linking his flights and this BF-109E pictured above.