Three researches I know, 2 of which specialise on P-40’s (all 3 are published) have been head-butting a brick wall for years trying to break the myth of Desert schemed Kitty’s in Italy , I have seen quite a few photo’s most of which I can’t show of Kitty IV’s in a TLS scheme. Several books on P-40’s also talk about how after the P-40K new deliveries didn’t come in British colours anymore with reference to agreements with British purchasing commission just std factory colours for ease of delivery , then several pages later contradict themselves with a B&W photo of a Kitty IV with the text saying its desert scheme, when its TLS.
I have seen pics of both sides of the subject Aircraft FX760 GA-? and its predecessor FX-740 and the tones and schemes match a TLS machine on both not a desert scheme .

Another scheme myth broken recently was 14 Sqn Marauders  for years every one said they were in Desert scheme when in fact they were in TSS scheme when several colour photo’s were found to prove it.

As I said it is hard to break the fixation that all 112 Sqn Shark mouthed Kittyhawks must be in Desert scheme, yes thru North Africa into Sicily, not in Italy in the close support role the Sqn’s of 239 wing the Desert scheme stood out like a sore thumb and the Middle Stone was quickly over painted with Dark Green on Kitty II and III and the Kitty IV delivered in OD over NG had Dark Earth applied in the std TLS pattern over the Olive Drab (OD was an official alternate to Dark Green), similar with many of the Mustangs in Italy being in OD and Ocean Grey