Meyer:
That is new to me! When I saw that aircraft at Sinsheim some few years back there was a text there claiming that is was not clear why it was in the med since LW records showed it to be from Sth77 supposedly in Stalingrad.
I surfed the net and found just that. I even posted it on this forum!
At the time I was looking into the reported sights of 190's in the med (at the fall of Tunis), and got involved in hot debates with Crumpp about it.
Anyway, my theory was that in the falling of Tunisia aircraft were being tossed from the eastern front (as they indeed were), as replacements and/or additions in that particular case of emegency (evac and escort) so I guess "Ergänzungskampfstaffel" is quite a good word. My point on that Stuka was fact vs available document, - i.e. although the information available at the time pointed out that it should have been in Stalingrad, - well the fact still remained that it was fished out of the med.
About the 190's I never completely found out. There were several sightings and engagements, but I did not find a claim on them. The allied pilots reporting them were veterans BTW, and I immediately had 3-4 cases. By best bet was that either they were also "Ergänzung" from the easter front, from Italy, or simply jabos quickly modded as much as possible and pressed into escort uses. I recall Crumpp being very stiff about this, claiming they were missighted and being Italian RE's.
Anyway, nice to have things reveiled. TY Meyer.
And Milo, - It did indeed look as if in desert colour. More so than on the picture. And pretty intact when you think what it went through

Anyway, bottom line, sent from the East to see it's fate in the med.