1) The Yak-3 was a 1944 bird, at least according to Wiki's service date. Also, if you're going to rule out anything that entered service prior to WWII, you'd actually be eliminating a couple machines ALREADY in game (F4F-4, P-40B and possibly the E, P-39D, B-25C, Hurricane Mk.I, possibly the Spit I, possibly the Boston III, and the He-111H depending on which exact variant it is off the top of my head). So you can't discard those aircraft for being pre-WWII designs without taking a look at others already here.
2) The Battle of France still saw a LOT of combat. The M.S.406 and D.520 scored a couple hundred aerial victories with a reasonable kill/loss ratio prior to the French surrender, and continued seeing combat with Vichy squadrons on the Axis side afterwards.
3) The Hawk saw action in three theaters (Europe, Pacific, and China-Burma-India) and on multiple fronts. Even if replaced by more capable machines as they became available, that's still a lot of combat in the early years of the war.