From the RAF website.
"No 605 Squadron was formed on 5 October 1926 at Castle Bromwich as a day bomber unit of the Auxiliary Air Force, recruiting in the Birmingham area. Initially equipped with DH9As it received Wapitis in April 1930 and Harts in October 1934. The latter were replaced by Hinds in August 1936 and on 1 January 1939 No 605 was redesignated a fighter squadron and re-equipped with Gladiators. Hurricanes began to arrive a few weeks before the outbreak of World War Two and the squadron took up its war station at Tangmere with a mixture of six Hurricanes and ten Gladiators, completing re-equipment during October. In February 1940 the squadron moved to Scotland, but returned south in May to fly patrols over northern France for a week before moving back to Drem. It moved south again in September for the closing stages of the Battle of Britain and in December began escorting bombers over northern France. At the end of March 1941, it moved to the Midlands for day and night defensive patrols and in October was posted overseas. It reached Singapore in January 1942, too late to affect the campaign, and was evacuated to Sumatra on arrival in the area, moving later to Java. There it became caught up in the Japanese invasion and after operating a collection of surviving aircraft, was either evacuated in small groups or captured by the Japanese by early March.
A detachment of Hurricanes at Hal Far, Malta, began operating on 10 January 1942, and was presumably part of No.605's air echelon since this number was used on its official reports, which end on 27 February 1942. The squadron reformed on 7 June 1942 at Ford as an intruder unit, receiving Bostons which began operations on 14 July over enemy airfields in France. In February 1943 it began to receive Mosquitoes, which flew on intruder raids for the rest of the war. In March 1945, No.605 moved to Belgium to reduce transit time to Germany and late in April arrived in the Netherlands where it was renumbered No.4 Squadron on 31 August 1945.
No.605 reformed as an Auxiliary Air Force squadron at Honiley on 10 May 1946, but recruiting, begun in November, was slow and it was not until April 1947 that it received its first operational Mosquito night fighter. A policy change altered the squadron's role to that of a day fighter unit and in July it began to receive Vampires. These it flew until disbanded on 10 March 1957. "
Section in bold should help Erich. They were flying intruder raids with Mosquitos, so however unlikely a Do-217 shooting down a Mossie is, it looks like it happened.