No operational Kittyhawk IV’s in Desert scheme , any in Desert scheme were at OTU’s in Egypt or South Africa.
As I said earlier the fixation with desert scheme being the only possibility means interpretation of B&W photo’s gives you a reverse scheme as the RAF museum machine was done, Kittyhawks only had one official pattern with two primary schemes and the Dark Earth stayed in the same spot in both , on B&W photo’s in Desert schemes the Dark Colour is Dark Earth, in TLS schemes the Dark Colour is Olive Drab/Dark Green, when you understand the colour positions and compare it to an official pattern it is easy to pick the two schemes, and when you look at Pictures of Kitty IV’s in Italy it is pretty obvious they are not in Desert scheme.
If this was a late model Spitfire in Europe in DG/DE as a “representative” scheme rather than the correct Green/Grey scheme it would have been howled down very quickly.