The aircraft engine sounds in that clip seem to be a version of the Stuka siren, rather than any actual aero-engine sound. The Stuka siren sound would be appropriate for dive bombing attacks by Stuka's fitted with the siren, other aircraft would make their own distinctive sound and, we are lucky today because many of the original engines and aircraft are being flown and digital recordings exist.
Strangely though, the engine of the Stuka (Junkers Jumo 211) is perhaps THE one you will not hear today as there are none flying, or even operating
AFAIK.
OAP