It's 'kind of' accurate in that the Valentine was around, but not as a gun tank.
However, in Sicily and Italy, they arrived in growing numbers. Despite this, the QF 2-pdr stayed the norm for most of the conflict, and, because of this, they were gradually phased out for secondary duties, or were converted for other tasks. Some were stationed in Gibraltar, Madagascar, Malta. In total, the 6th, 8th and 11th Armoured Divisions, as well as the 1st Polish division (trained in Scotland and deployed in Italy 1944-45), were mostly equipped with the Valentine.
None of the tanks in Malta/Gibraltar saw combat there. The Poles did train on the Valentine but were re-equipped with Shermans & Cromwells before serving in
France (not Italy!) The 2nd Polish Armoured Brigade (later division) was in Italy, but with (you guessed it!) Shermans.
Of the other formations, 8AD never saw combat, 11AD saw service in NW Europe in Shermans and Cromwells, & 6AD used Shermans in Italy.
Nice Stuart jalopy of 2nd Lothian & Border Horse.
Valentines & Matildas in training exercises. There are a whole series of colour photos from this exercise in the IWM Collection.
....New Zealand received 255 Mk II, III and V Valentines, of which the New Zealand 3rd Division used 34 in their 1944 Pacific campaign. They modified 9 Mk III to the MK IIICS (Close Support) standard by replacing the standard 2 pdr gun with 3 inch (76.2 mm) howitzers from surplus Matilda Mk IV CS versions, and were instrumental in the Pacific Campaign until the end of the war.
The Kiwis used Shermans in Italy.
They did use the Valentine in the Pacific though.
......Other users of the Valentine included the Australians (mostly in North Africa), the Poles, and the Free French (a few) in Tunisia and Italy. Six Valentines from B Special Service Squadron, RAC, also took part in the attack on Diego Suarez on Madagascar (5-7 May 1942). One squadron was posted to Gibraltar.
An appropirately named Valentine in French service with 5RCA in Tunisia. With that beret could he be anything other than French?
The French were in Shermans (again) before getting to Italy & the Australians had gone home (or to the SW Pacific at least) by the time that the allies landed in Sicily.
On the other hand, the Russians used the Valentine (as a Light tank) until the end of the war.
The British were still using the Valentine in Europe in 1945, but as a command tank in Archer SP batteries. There were allegedly Crusader OP tanks in NW Europe too but I've never seen a photo of one. AA Crusader tanks & gun tractors on the other hand were reasonably common.
https://www.youtube.com/watch?v=t6ZlzHHt_Zc