A He-111H-4 would (with a couple of weapons packages) span from 1940 all the way to late 1943. After that the variants started getting more noticable.
That's a pretty big hole to fill! The Ju-88A4 we have in-game really only works for mid-1941. Maybe into early 1942. Too fast for early stuff, too weak/obsolete to be used against typhs, spit9+s, p47s, etc.
The He111 would fill a big hole in the early LW set, just like the B-25 fills a giant hole in the USAAF and RAF early war bombers.
Also, He111s were used as transports, they were used as paratroop transports, personnel transports, personal VIP craft for generals (and whatnot).
We could get a He111H with options to carry bombs, or troops, or field supplies! Imagine all that in one plane!