The context appears to be 8th air force operations during Point Blank, which lasted roughly from mid 1943 to March 1944.
By "enemy fighters" they appear to be referring to the Reich Defence interceptors covering western Europe.
In such a context the statement appears genuine, though as mentioned above would then suffer modification for how the data was gathered, its sources, etc.
It has been frequently stated that the bomber offensive of 43-44 over western Europe won air superiority by bomber attrition. My take is essentially air superiority was maintained by the Luftwaffe in late 43 largely by the support of zerstörer heavy fighters using rocket salvos and flak cannon to separate individual aircraft which could then be set upon, they did this from a good distance. But then the appearance of a very capable escort (the Mustang) cleared the skies of everything but single seat interceptors, and then these faced terrible attrition going in against the bomber boxes at point blank range. That totally changed the environment of Reich Defence, forcing the jagdflieger into a fight of attrition where it was mostly bomber crews facing this challenge earlier.
So combining these two elements brings some credence to the claim, though I would agree it sounds exaggerated, most definitely where taken as a blanket statement. I lacks context and detail.